4x-2=8x+5-2+2-6x*3-6+2-5x+7

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Solution for 4x-2=8x+5-2+2-6x*3-6+2-5x+7 equation: 


Simplifying
4x + -2 = 8x + 5 + -2 + 2 + -6x * 3 + -6 + 2 + -5x + 7

Reorder the terms:
-2 + 4x = 8x + 5 + -2 + 2 + -6x * 3 + -6 + 2 + -5x + 7

Reorder the terms for easier multiplication:
-2 + 4x = 8x + 5 + -2 + 2 + -6 * 3x + -6 + 2 + -5x + 7

Multiply -6 * 3
-2 + 4x = 8x + 5 + -2 + 2 + -18x + -6 + 2 + -5x + 7

Reorder the terms:
-2 + 4x = 5 + -2 + 2 + -6 + 2 + 7 + 8x + -18x + -5x

Combine like terms: 5 + -2 = 3
-2 + 4x = 3 + 2 + -6 + 2 + 7 + 8x + -18x + -5x

Combine like terms: 3 + 2 = 5
-2 + 4x = 5 + -6 + 2 + 7 + 8x + -18x + -5x

Combine like terms: 5 + -6 = -1
-2 + 4x = -1 + 2 + 7 + 8x + -18x + -5x

Combine like terms: -1 + 2 = 1
-2 + 4x = 1 + 7 + 8x + -18x + -5x

Combine like terms: 1 + 7 = 8
-2 + 4x = 8 + 8x + -18x + -5x

Combine like terms: 8x + -18x = -10x
-2 + 4x = 8 + -10x + -5x

Combine like terms: -10x + -5x = -15x
-2 + 4x = 8 + -15x

Solving
-2 + 4x = 8 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-2 + 4x + 15x = 8 + -15x + 15x

Combine like terms: 4x + 15x = 19x
-2 + 19x = 8 + -15x + 15x

Combine like terms: -15x + 15x = 0
-2 + 19x = 8 + 0
-2 + 19x = 8

Add '2' to each side of the equation.
-2 + 2 + 19x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 19x = 8 + 2
19x = 8 + 2

Combine like terms: 8 + 2 = 10
19x = 10

Divide each side by '19'.
x = 0.5263157895

Simplifying
x = 0.5263157895

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