Question

Solve: 5x – (7x + 4) = 3(x + 5) + 4(5 – 2x)

Hint: Distribute everything first, then combine like terms next.

Answer 1

Step 1. Remove parenthesis.

`5x-7x-4=3(x+5)+4(5-2x)`

Step 2: Simplify the left side.

`-2x-4=3(x+5)+4(5-2x)\\-2x-4=3(x+5)+4(5-2x)`

Step 3: Expand.

`-2x-4=3x+15+20-8x`

Step 4: Simplify the right side.

`-2x-4=-5x+35`

Step 5: Add 4 to both sides.

`-2x=-5x+35+4`

Step 6: Simplify.

`-2x=-5x+39`

Step 7: Add 5x to both sides.

`-2x+5x=39`

Step 8: Simplify.

`3x=39`

Step 9: Divide both sides by 3

`x=13`

Answer 2

x=13

Explanation:

I hope this helps with your question :)