4(x+4)+2(-x+6)=-10

Solution for 4(x+4)+2(-x+6)=-10 equation:

Simplifying
4(x + 4) + 2(-1x + 6) = -10

Reorder the terms:
4(4 + x) + 2(-1x + 6) = -10
(4 * 4 + x * 4) + 2(-1x + 6) = -10
(16 + 4x) + 2(-1x + 6) = -10

Reorder the terms:
16 + 4x + 2(6 + -1x) = -10
16 + 4x + (6 * 2 + -1x * 2) = -10
16 + 4x + (12 + -2x) = -10

Reorder the terms:
16 + 12 + 4x + -2x = -10

Combine like terms: 16 + 12 = 28
28 + 4x + -2x = -10

Combine like terms: 4x + -2x = 2x
28 + 2x = -10

Solving
28 + 2x = -10

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 2x = -10 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = -10 + -28
2x = -10 + -28

Combine like terms: -10 + -28 = -38
2x = -38

Divide each side by '2'.
x = -19

Simplifying
x = -19