4x+2(x+6)=4(x-2)-26

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Solution for 4x+2(x+6)=4(x-2)-26 equation:


Simplifying
4x + 2(x + 6) = 4(x + -2) + -26

Reorder the terms:
4x + 2(6 + x) = 4(x + -2) + -26
4x + (6 * 2 + x * 2) = 4(x + -2) + -26
4x + (12 + 2x) = 4(x + -2) + -26

Reorder the terms:
12 + 4x + 2x = 4(x + -2) + -26

Combine like terms: 4x + 2x = 6x
12 + 6x = 4(x + -2) + -26

Reorder the terms:
12 + 6x = 4(-2 + x) + -26
12 + 6x = (-2 * 4 + x * 4) + -26
12 + 6x = (-8 + 4x) + -26

Reorder the terms:
12 + 6x = -8 + -26 + 4x

Combine like terms: -8 + -26 = -34
12 + 6x = -34 + 4x

Solving
12 + 6x = -34 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 6x + -4x = -34 + 4x + -4x

Combine like terms: 6x + -4x = 2x
12 + 2x = -34 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 2x = -34 + 0
12 + 2x = -34

Add '-12' to each side of the equation.
12 + -12 + 2x = -34 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -34 + -12
2x = -34 + -12

Combine like terms: -34 + -12 = -46
2x = -46

Divide each side by '2'.
x = -23

Simplifying
x = -23

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