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

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Solution for -2(x+1)+4=6(x-2)+8 equation: 


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

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

Reorder the terms:
-2 + 4 + -2x = 6(x + -2) + 8

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

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

Reorder the terms:
2 + -2x = -12 + 8 + 6x

Combine like terms: -12 + 8 = -4
2 + -2x = -4 + 6x

Solving
2 + -2x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + -2x + -6x = -4 + 6x + -6x

Combine like terms: -2x + -6x = -8x
2 + -8x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -8x = -4 + 0
2 + -8x = -4

Add '-2' to each side of the equation.
2 + -2 + -8x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = -4 + -2
-8x = -4 + -2

Combine like terms: -4 + -2 = -6
-8x = -6

Divide each side by '-8'.
x = 0.75

Simplifying
x = 0.75

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