4(7-3х)- 2(2х+5)=24-(3х-7)

Solve for x:

1. Expand both sides:

• Left: 4(7 - 3x) - 2(2x + 5) = (28 - 12x) + (-4x - 10) = 18 - 16x
• Right: 24 - (3x - 7) = 24 - 3x + 7 = 31 - 3x

2. Equation becomes: 18 - 16x = 31 - 3x

3. Solve:

• Move x-terms to one side: 18 - 16x + 3x = 31 → 18 - 13x = 31
• Subtract 18: -13x = 13
• Divide by -13: x = -1

Check: x = -1 satisfies both sides.

Answer: x = -1.