Question

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

Answer 1

Answer:

$x=-11$

Step-by-step 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

$\frac{-x}{-1} =\frac{11}{-1}$

9) Simplify

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

$x=\frac{11}{-1}$

B. Divide the numbers

$x=-11$

Answer 2

Answer: x = -11

Step-by-step 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