5-2(3+x)=8-5x

Solve the equation: 5 - 2(3 + x) = 8 - 5x

• Expand: 5 - 2(3 + x) = 5 - 6 - 2x = -1 - 2x
• So: -1 - 2x = 8 - 5x
• Add 5x to both sides: -1 + 3x = 8
• Add 1: 3x = 9
• x = 3

Check:

• LHS = 5 - 2(3 + 3) = 5 - 12 = -7
• RHS = 8 - 5(3) = 8 - 15 = -7

Solution: x = 3.