Solved on Jan 23, 2024

Solve for $x$ in the equation $6-3x=5x-10x+10$ . (Type an integer or a simplified fraction.)

STEP 1

Assumptions
1. We are given the equation $6 - 3x = 5x - 10x + 10$ .
2. We need to solve for the variable $x$ .
3. The solution should be an integer or a simplified fraction.

STEP 2

Simplify the right-hand side of the equation by combining like terms.
$5x - 10x = -5x$

STEP 3

Rewrite the equation with the simplified right-hand side.
$6 - 3x = -5x + 10$

STEP 4

Add $5x$ to both sides of the equation to move the variable terms to one side.
$6 - 3x + 5x = -5x + 5x + 10$

STEP 5

Combine like terms on both sides of the equation.
$6 + 2x = 10$

STEP 6

Subtract 6 from both sides of the equation to isolate the variable term.
$2x = 10 - 6$

STEP 7

Calculate the right-hand side of the equation.
$2x = 4$

STEP 8

Divide both sides of the equation by 2 to solve for $x$ .
$x = \frac{4}{2}$

STEP 9

Calculate the value of $x$ .
$x = 2$
The solution to the equation is $x = 2$ .

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Solve for $x$ in the equation $6-3x=5x-10x+10$ . (Type an integer or a simplified fraction.)

STEP 1

Assumptions
1. We are given the equation $6 - 3x = 5x - 10x + 10$ .
2. We need to solve for the variable $x$ .
3. The solution should be an integer or a simplified fraction.

STEP 2

Simplify the right-hand side of the equation by combining like terms.
$5x - 10x = -5x$

STEP 3

Rewrite the equation with the simplified right-hand side.
$6 - 3x = -5x + 10$

STEP 4

Add $5x$ to both sides of the equation to move the variable terms to one side.
$6 - 3x + 5x = -5x + 5x + 10$

STEP 5

Combine like terms on both sides of the equation.
$6 + 2x = 10$

STEP 6

Subtract 6 from both sides of the equation to isolate the variable term.
$2x = 10 - 6$

STEP 7

Calculate the right-hand side of the equation.
$2x = 4$

STEP 8

Divide both sides of the equation by 2 to solve for $x$ .
$x = \frac{4}{2}$

STEP 9

Calculate the value of $x$ .
$x = 2$
The solution to the equation is $x = 2$ .

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Solve for xxx in the equation 6−3x=5x−10x+106-3x=5x-10x+106−3x=5x−10x+10. (Type an integer or a simplified fraction.)

STEP 1

Assumptions1. We are given the equation 6−3x=5x−10x+106 - 3x = 5x - 10x + 106−3x=5x−10x+10.2. We need to solve for the variable xxx.3. The solution should be an integer or a simplified fraction.

STEP 2

Simplify the right-hand side of the equation by combining like terms.5x−10x=−5x5x - 10x = -5x5x−10x=−5x

STEP 3

Rewrite the equation with the simplified right-hand side.6−3x=−5x+106 - 3x = -5x + 106−3x=−5x+10

STEP 4

Add 5x5x5x to both sides of the equation to move the variable terms to one side.6−3x+5x=−5x+5x+106 - 3x + 5x = -5x + 5x + 106−3x+5x=−5x+5x+10

STEP 5

Combine like terms on both sides of the equation.6+2x=106 + 2x = 106+2x=10

STEP 6

Subtract 6 from both sides of the equation to isolate the variable term.2x=10−62x = 10 - 62x=10−6

STEP 7

Calculate the right-hand side of the equation.2x=42x = 42x=4

STEP 8

Divide both sides of the equation by 2 to solve for xxx.x=42x = \frac{4}{2}x=24​

STEP 9

Calculate the value of xxx.x=2x = 2x=2The solution to the equation is x=2x = 2x=2.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Solve for $x$ in the equation $6-3x=5x-10x+10$ . (Type an integer or a simplified fraction.)

Assumptions
1. We are given the equation $6 - 3x = 5x - 10x + 10$ .
2. We need to solve for the variable $x$ .
3. The solution should be an integer or a simplified fraction.

Simplify the right-hand side of the equation by combining like terms.
$5x - 10x = -5x$

Rewrite the equation with the simplified right-hand side.
$6 - 3x = -5x + 10$

Add $5x$ to both sides of the equation to move the variable terms to one side.
$6 - 3x + 5x = -5x + 5x + 10$

Combine like terms on both sides of the equation.
$6 + 2x = 10$

Subtract 6 from both sides of the equation to isolate the variable term.
$2x = 10 - 6$

Calculate the right-hand side of the equation.
$2x = 4$

Divide both sides of the equation by 2 to solve for $x$ .
$x = \frac{4}{2}$

Calculate the value of $x$ .
$x = 2$
The solution to the equation is $x = 2$ .