Question

3 (1 - 3x) = 2 (- 4x +7)

Answer 1

Answer: x = -11

Explanation:

Expand the expression (distributive property): 3 - 9x = -8x + 14

// subtract 14 from both sides = -11

// add 9x on both sides = x

Simplify: x = -11

Answer 2

`x=-11`

Explanation:

1) Rearrange Terms

`3(-3x+1)=2(-4x+7)`

2) Distribute

`-9x+3=2(-4x+7)`

3) Distribute

`-9x+3=-8x+14`

4) Subtract 3 from both sides of the equation

`-9x+3-3=-8x+14-3`

5) Simplify

A. Subtract the numbers

`-9x=-8x+14-3`

B. Subtract the numbers

`-9x=-8x+11`

6) Add 8x to both sides of the equation

`-9x+8x=-8x+11+8x`

7) Simplify

A. Combine like terms

`-x=-8x+11+8x`

B. Combine like terms

`-x=11`

8) Divide both sides of the equation by the same term

`(-x)/(-1) =(11)/(-1)`

9) Simplify

A. Cancel terms that are in both the numerator and denominator

`x=(11)/(-1)`

B. Divide the numbers

`x=-11`