6x-4(2x-3)=2(x+5)+2

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Solution for 6x-4(2x-3)=2(x+5)+2 equation: 


Simplifying
6x + -4(2x + -3) = 2(x + 5) + 2

Reorder the terms:
6x + -4(-3 + 2x) = 2(x + 5) + 2
6x + (-3 * -4 + 2x * -4) = 2(x + 5) + 2
6x + (12 + -8x) = 2(x + 5) + 2

Reorder the terms:
12 + 6x + -8x = 2(x + 5) + 2

Combine like terms: 6x + -8x = -2x
12 + -2x = 2(x + 5) + 2

Reorder the terms:
12 + -2x = 2(5 + x) + 2
12 + -2x = (5 * 2 + x * 2) + 2
12 + -2x = (10 + 2x) + 2

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

Combine like terms: 10 + 2 = 12
12 + -2x = 12 + 2x

Add '-12' to each side of the equation.
12 + -12 + -2x = 12 + -12 + 2x

Combine like terms: 12 + -12 = 0
0 + -2x = 12 + -12 + 2x
-2x = 12 + -12 + 2x

Combine like terms: 12 + -12 = 0
-2x = 0 + 2x
-2x = 2x

Solving
-2x = 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.
-2x + -2x = 2x + -2x

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

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

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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