2(x-6)+4(x+2)=4(x+7)-(x+8)

Solution for 2(x-6)+4(x+2)=4(x+7)-(x+8) equation:

Simplifying
2(x + -6) + 4(x + 2) = 4(x + 7) + -1(x + 8)

Reorder the terms:
2(-6 + x) + 4(x + 2) = 4(x + 7) + -1(x + 8)
(-6 * 2 + x * 2) + 4(x + 2) = 4(x + 7) + -1(x + 8)
(-12 + 2x) + 4(x + 2) = 4(x + 7) + -1(x + 8)

Reorder the terms:
-12 + 2x + 4(2 + x) = 4(x + 7) + -1(x + 8)
-12 + 2x + (2 * 4 + x * 4) = 4(x + 7) + -1(x + 8)
-12 + 2x + (8 + 4x) = 4(x + 7) + -1(x + 8)

Reorder the terms:
-12 + 8 + 2x + 4x = 4(x + 7) + -1(x + 8)

Combine like terms: -12 + 8 = -4
-4 + 2x + 4x = 4(x + 7) + -1(x + 8)

Combine like terms: 2x + 4x = 6x
-4 + 6x = 4(x + 7) + -1(x + 8)

Reorder the terms:
-4 + 6x = 4(7 + x) + -1(x + 8)
-4 + 6x = (7 * 4 + x * 4) + -1(x + 8)
-4 + 6x = (28 + 4x) + -1(x + 8)

Reorder the terms:
-4 + 6x = 28 + 4x + -1(8 + x)
-4 + 6x = 28 + 4x + (8 * -1 + x * -1)
-4 + 6x = 28 + 4x + (-8 + -1x)

Reorder the terms:
-4 + 6x = 28 + -8 + 4x + -1x

Combine like terms: 28 + -8 = 20
-4 + 6x = 20 + 4x + -1x

Combine like terms: 4x + -1x = 3x
-4 + 6x = 20 + 3x

Solving
-4 + 6x = 20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 6x + -3x = 20 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-4 + 3x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 3x = 20 + 0
-4 + 3x = 20

Add '4' to each side of the equation.
-4 + 4 + 3x = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 20 + 4
3x = 20 + 4

Combine like terms: 20 + 4 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8