Simplifying
6x + 10 = 5x + -28
Reorder the terms:
10 + 6x = 5x + -28
Reorder the terms:
10 + 6x = -28 + 5x
Solving
10 + 6x = -28 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
10 + 6x + -5x = -28 + 5x + -5x
Combine like terms: 6x + -5x = 1x
10 + 1x = -28 + 5x + -5x
Combine like terms: 5x + -5x = 0
10 + 1x = -28 + 0
10 + 1x = -28
Add '-10' to each side of the equation.
10 + -10 + 1x = -28 + -10
Combine like terms: 10 + -10 = 0
0 + 1x = -28 + -10
1x = -28 + -10
Combine like terms: -28 + -10 = -38
1x = -38
Divide each side by '1'.
x = -38
Simplifying
x = -38