Simplifying
x + -3(2x + -7) = 76
Reorder the terms:
x + -3(-7 + 2x) = 76
x + (-7 * -3 + 2x * -3) = 76
x + (21 + -6x) = 76
Reorder the terms:
21 + x + -6x = 76
Combine like terms: x + -6x = -5x
21 + -5x = 76
Solving
21 + -5x = 76
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-21' to each side of the equation.
21 + -21 + -5x = 76 + -21
Combine like terms: 21 + -21 = 0
0 + -5x = 76 + -21
-5x = 76 + -21
Combine like terms: 76 + -21 = 55
-5x = 55
Divide each side by '-5'.
x = -11
Simplifying
x = -11