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

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


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

Reorder the terms:
2(5 + 6x) = 4(2x + -5) + -2x
(5 * 2 + 6x * 2) = 4(2x + -5) + -2x
(10 + 12x) = 4(2x + -5) + -2x

Reorder the terms:
10 + 12x = 4(-5 + 2x) + -2x
10 + 12x = (-5 * 4 + 2x * 4) + -2x
10 + 12x = (-20 + 8x) + -2x

Combine like terms: 8x + -2x = 6x
10 + 12x = -20 + 6x

Solving
10 + 12x = -20 + 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.
10 + 12x + -6x = -20 + 6x + -6x

Combine like terms: 12x + -6x = 6x
10 + 6x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + 6x = -20 + 0
10 + 6x = -20

Add '-10' to each side of the equation.
10 + -10 + 6x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = -20 + -10
6x = -20 + -10

Combine like terms: -20 + -10 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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