5x-6(x+7)=-32

Solution for 5x-6(x+7)=-32 equation:

Simplifying
5x + -6(x + 7) = -32

Reorder the terms:
5x + -6(7 + x) = -32
5x + (7 * -6 + x * -6) = -32
5x + (-42 + -6x) = -32

Reorder the terms:
-42 + 5x + -6x = -32

Combine like terms: 5x + -6x = -1x
-42 + -1x = -32

Solving
-42 + -1x = -32

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '42' to each side of the equation.
-42 + 42 + -1x = -32 + 42

Combine like terms: -42 + 42 = 0
0 + -1x = -32 + 42
-1x = -32 + 42

Combine like terms: -32 + 42 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10