Question

Instructions: Solve the following linear
equation.
- 2x + 38 = 2(3 + 3x)
2-

Answer 1

x = 4

Explanation:

• -2x + 38 = 2(3 + 3x)

Use distributive property to multiply 2 by 3 and 3x

• -2x + 38 = 2 ×3 + 2 × 3x
• -2x + 38 = 6 + 6x

subtract 6x from both side

• -2x + 38 - 6x = 6 + 6x - 6x

combine -2x and -6x to get -8x

• -8x + 38 = 6

subtract 38 from both side

• -8x + 38 - 38 = 6 - 38

subtract 38 from 6 to get -32

• -8x = -32

divide both side by -8

`\small \sf (-8x)/( -8) = (-32)/(-8) \\ \\ \small \sf x = (- 32)/(-8)`

divide -32 by -8 to get 4

• x = 4

Answer 2

Explanation:

-2x +38 = 2(3 + 3x)

-2x + 38 = 2*3 + 2*3x

-2x + 38 = 6 + 6x

Add 2x to both sides

38 = 6 + 6x + 2x

Combine like terms

38 = 6 + 8x

Subtract 8 from both sides

38 - 6 = 8x

8x = 32

Divide both sides by 8

x = 32/8

x = 4