Simplifying 10x + -2x + 6 = 3x + -9
Reorder the terms: 6 + 10x + -2x = 3x + -9
Combine like terms: 10x + -2x = 8x 6 + 8x = 3x + -9
Reorder the terms: 6 + 8x = -9 + 3x
Solving 6 + 8x = -9 + 3x
Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation. 6 + 8x + -3x = -9 + 3x + -3x
Combine like terms: 8x + -3x = 5x 6 + 5x = -9 + 3x + -3x
Combine like terms: 3x + -3x = 0 6 + 5x = -9 + 0 6 + 5x = -9
Add '-6' to each side of the equation. 6 + -6 + 5x = -9 + -6
Combine like terms: 6 + -6 = 0 0 + 5x = -9 + -6 5x = -9 + -6
Combine like terms: -9 + -6 = -15 5x = -15
Divide each side by '5'. x = -3
Simplifying x = -3