Question

Algebra 1 question : Solve for x : 3 - 5x + 6 = 14x - 32 + 10(2-x)

Answer 1

Hi there!

$3 - 5x + 6 = 14x - 32 + 10(2 - x)$
Work out the parenthesis.

$3 - 5x + 6 = 14x - 32 + 20 - 10x$
Combine like terms.

$9 - 5x = 4x - 12$
Subtract 9 from both sides.

$- 5x = 4x - 21$
Subtract 4x from both sides

$- 9x = - 21$
Divide both sides by -9

$x = \frac{ - 21}{ - 9} = \frac{21}{9} = 2 \frac{3}{9} = 2 \frac{1}{3}$

Answer 2

3 - 5x + 6 = 14x - 32 + 10(2 - x)

Distribute 10 inside the parentheses.

3 - 5x + 6 = 14x - 32 + 20 - 10x

Combine like terms.

9 - 5x = 4x - 12

Add 5x to both sides.

9 = 9x - 12

Add 12 to both sides.

21 = 9x

Divide both sides by 9.

x = 21/9

Simplify 21/9 by dividing both sides by 3: 7/3

Your answer is x = 7/3.