-x(3+2)=2(x+2)+10

Solution for -x(3+2)=2(x+2)+10 equation:

Simplifying
-1x(3 + 2) = 2(x + 2) + 10

Combine like terms: 3 + 2 = 5
-1x(5) = 2(x + 2) + 10

Reorder the terms for easier multiplication:
-1 * 5x = 2(x + 2) + 10

Multiply -1 * 5
-5x = 2(x + 2) + 10

Reorder the terms:
-5x = 2(2 + x) + 10
-5x = (2 * 2 + x * 2) + 10
-5x = (4 + 2x) + 10

Reorder the terms:
-5x = 4 + 10 + 2x

Combine like terms: 4 + 10 = 14
-5x = 14 + 2x

Solving
-5x = 14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5x + -2x = 14 + 2x + -2x

Combine like terms: -5x + -2x = -7x
-7x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7x = 14 + 0
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2