Solve for x 6 (x-1) = 9 (x+2)

6 (x-1) = 9 (x+2)

6x-6=9x+18

6x=9x+24

-3x=24

-x=8

x=-8

Simplifying 6 (x + - 1) = 9 (x + 2) Reorder the terms: 6 (-1 + x) = 9 (x + 2) (-1 * 6 + x * 6) = 9 (x + 2) (-6 + 6x) = 9 (x + 2) Reorder the terms: - 6 + 6x = 9 (2 + x) - 6 + 6x = (2 * 9 + x * 9) - 6 + 6x = (18 + 9x) Solving - 6 + 6x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. - 6 + 6x + - 9x = 18 + 9x + - 9x Combine like terms: 6x + - 9x = - 3x - 6 + - 3x = 18 + 9x + - 9x Combine like terms: 9x + - 9x = 0 - 6 + - 3x = 18 + 0 - 6 + - 3x = 18 Add '6' to each side of the equation. - 6 + 6 + - 3x = 18 + 6 Combine like terms: - 6 + 6 = 0 0 + - 3x = 18 + 6 - 3x = 18 + 6 Combine like terms: 18 + 6 = 24 - 3x = 24 Divide each side by '-3'. x = - 8 Simplifying x = - 8