Question Solve the equation $4x - 2 = 10$ using algebra tiles. The solution is $\square$ . (Type the value of $x$ .)

Studdy Solution

STEP 1

Assumptions
1. We are solving the equation $4x - 2 = 10$ .
2. Algebra tiles are a visual representation used to solve equations, but here we will solve the equation algebraically.

STEP 2

The goal is to isolate the variable $x$ on one side of the equation. To do this, we first need to get rid of the constant term on the side with the variable.

STEP 3

Add $2$ to both sides of the equation to cancel out the $-2$ on the left side.
$4x - 2 + 2 = 10 + 2$

STEP 4

Simplify both sides of the equation.
$4x = 12$

STEP 5

Now, we need to isolate $x$ by getting rid of the coefficient $4$ that is multiplying $x$ . To do this, we divide both sides of the equation by $4$ .
$\frac{4x}{4} = \frac{12}{4}$

STEP 6

Simplify both sides of the equation to find the value of $x$ .
$x = 3$
The solution is $x = 3$ .

Was this helpful?

Question Solve the equation $4x - 2 = 10$ using algebra tiles. The solution is $\square$ . (Type the value of $x$ .)

Studdy Solution

STEP 1

Assumptions
1. We are solving the equation $4x - 2 = 10$ .
2. Algebra tiles are a visual representation used to solve equations, but here we will solve the equation algebraically.

STEP 2

The goal is to isolate the variable $x$ on one side of the equation. To do this, we first need to get rid of the constant term on the side with the variable.

STEP 3

Add $2$ to both sides of the equation to cancel out the $-2$ on the left side.
$4x - 2 + 2 = 10 + 2$

STEP 4

Simplify both sides of the equation.
$4x = 12$

STEP 5

Now, we need to isolate $x$ by getting rid of the coefficient $4$ that is multiplying $x$ . To do this, we divide both sides of the equation by $4$ .
$\frac{4x}{4} = \frac{12}{4}$

STEP 6

Simplify both sides of the equation to find the value of $x$ .
$x = 3$
The solution is $x = 3$ .

Get Studdy

Studdy solves anything!

Start learning now

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

Question Solve the equation 4x−2=104x - 2 = 104x−2=10 using algebra tiles. The solution is □\square□. (Type the value of xxx.)

Studdy Solution

STEP 1

Assumptions1. We are solving the equation 4x−2=104x - 2 = 104x−2=10.2. Algebra tiles are a visual representation used to solve equations, but here we will solve the equation algebraically.

STEP 2

The goal is to isolate the variable xxx on one side of the equation. To do this, we first need to get rid of the constant term on the side with the variable.

STEP 3

Add 222 to both sides of the equation to cancel out the −2-2−2 on the left side.4x−2+2=10+24x - 2 + 2 = 10 + 24x−2+2=10+2

STEP 4

Simplify both sides of the equation.4x=124x = 124x=12

STEP 5

Now, we need to isolate xxx by getting rid of the coefficient 444 that is multiplying xxx. To do this, we divide both sides of the equation by 444.4x4=124\frac{4x}{4} = \frac{12}{4}44x​=412​

STEP 6

Simplify both sides of the equation to find the value of xxx.x=3x = 3x=3The solution is x=3x = 3x=3.

Get Studdy

Studdy solves anything!

Start learning now

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

Question Solve the equation $4x - 2 = 10$ using algebra tiles. The solution is $\square$ . (Type the value of $x$ .)

Assumptions
1. We are solving the equation $4x - 2 = 10$ .
2. Algebra tiles are a visual representation used to solve equations, but here we will solve the equation algebraically.

The goal is to isolate the variable $x$ on one side of the equation. To do this, we first need to get rid of the constant term on the side with the variable.

Add $2$ to both sides of the equation to cancel out the $-2$ on the left side.
$4x - 2 + 2 = 10 + 2$

Simplify both sides of the equation.
$4x = 12$

Now, we need to isolate $x$ by getting rid of the coefficient $4$ that is multiplying $x$ . To do this, we divide both sides of the equation by $4$ .
$\frac{4x}{4} = \frac{12}{4}$

Simplify both sides of the equation to find the value of $x$ .
$x = 3$
The solution is $x = 3$ .