Solved on Oct 31, 2023

Solve the linear equation $4(x-2)+6=18$ by showing each step.

STEP 1

Assumptions1. The equation is a linear equation in one variable, x. . The goal is to isolate x on one side of the equation.

STEP 2

The first step in the solution is to distribute the4 across the terms inside the parentheses on the left side of the equation.
$4(x-2)+6 =4x -8 +6$

STEP 3

Next, we simplify the left side of the equation by combining like terms.
$x -8 +6 =x -2$

STEP 4

Now, we want to isolate the term with x on one side of the equation. To do this, we add2 to both sides of the equation to get rid of the -2 on the left side.
$4x -2 +2 =18 +2$

STEP 5

We simplify both sides of the equation.
$4x =20$

STEP 6

Finally, we want to solve for x. To do this, we divide both sides of the equation by4.
$\frac{4x}{4} = \frac{20}{4}$

STEP 7

implify both sides of the equation to find the value of x.
$x =5$ So, the solution to the equation is x =5.

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Solve the linear equation $4(x-2)+6=18$ by showing each step.

STEP 1

Assumptions1. The equation is a linear equation in one variable, x. . The goal is to isolate x on one side of the equation.

STEP 2

The first step in the solution is to distribute the4 across the terms inside the parentheses on the left side of the equation.
$4(x-2)+6 =4x -8 +6$

STEP 3

Next, we simplify the left side of the equation by combining like terms.
$x -8 +6 =x -2$

STEP 4

Now, we want to isolate the term with x on one side of the equation. To do this, we add2 to both sides of the equation to get rid of the -2 on the left side.
$4x -2 +2 =18 +2$

STEP 5

We simplify both sides of the equation.
$4x =20$

STEP 6

Finally, we want to solve for x. To do this, we divide both sides of the equation by4.
$\frac{4x}{4} = \frac{20}{4}$

STEP 7

implify both sides of the equation to find the value of x.
$x =5$ So, the solution to the equation is x =5.

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Solve the linear equation 4(x−2)+6=184(x-2)+6=184(x−2)+6=18 by showing each step.

STEP 1

Assumptions1. The equation is a linear equation in one variable, x. . The goal is to isolate x on one side of the equation.

STEP 2

The first step in the solution is to distribute the4 across the terms inside the parentheses on the left side of the equation.4(x−2)+6=4x−8+64(x-2)+6 =4x -8 +64(x−2)+6=4x−8+6

STEP 3

Next, we simplify the left side of the equation by combining like terms.x−8+6=x−2x -8 +6 =x -2x−8+6=x−2

STEP 4

Now, we want to isolate the term with x on one side of the equation. To do this, we add2 to both sides of the equation to get rid of the -2 on the left side.4x−2+2=18+24x -2 +2 =18 +24x−2+2=18+2

STEP 5

We simplify both sides of the equation.4x=204x =204x=20

STEP 6

Finally, we want to solve for x. To do this, we divide both sides of the equation by4.4x4=204\frac{4x}{4} = \frac{20}{4}44x​=420​

STEP 7

implify both sides of the equation to find the value of x.x=5x =5x=5So, the solution to the equation is x =5.

Start learning now

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

Solve the linear equation $4(x-2)+6=18$ by showing each step.

The first step in the solution is to distribute the4 across the terms inside the parentheses on the left side of the equation.
$4(x-2)+6 =4x -8 +6$

Next, we simplify the left side of the equation by combining like terms.
$x -8 +6 =x -2$

Now, we want to isolate the term with x on one side of the equation. To do this, we add2 to both sides of the equation to get rid of the -2 on the left side.
$4x -2 +2 =18 +2$

We simplify both sides of the equation.
$4x =20$

Finally, we want to solve for x. To do this, we divide both sides of the equation by4.
$\frac{4x}{4} = \frac{20}{4}$

implify both sides of the equation to find the value of x.
$x =5$ So, the solution to the equation is x =5.