Question

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

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

Answer 1

Answer:

x=13

Step-by-step explanation:

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Answer 2

Answer:

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

$x=13$