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 = ( - 21)/( - 9) = (21)/(9) = 2 (3)/(9) = 2 (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.