4(x+6)-2=2(x+10)+6

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Solution for 4(x+6)-2=2(x+10)+6 equation: 


Simplifying
4(x + 6) + -2 = 2(x + 10) + 6

Reorder the terms:
4(6 + x) + -2 = 2(x + 10) + 6
(6 * 4 + x * 4) + -2 = 2(x + 10) + 6
(24 + 4x) + -2 = 2(x + 10) + 6

Reorder the terms:
24 + -2 + 4x = 2(x + 10) + 6

Combine like terms: 24 + -2 = 22
22 + 4x = 2(x + 10) + 6

Reorder the terms:
22 + 4x = 2(10 + x) + 6
22 + 4x = (10 * 2 + x * 2) + 6
22 + 4x = (20 + 2x) + 6

Reorder the terms:
22 + 4x = 20 + 6 + 2x

Combine like terms: 20 + 6 = 26
22 + 4x = 26 + 2x

Solving
22 + 4x = 26 + 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.
22 + 4x + -2x = 26 + 2x + -2x

Combine like terms: 4x + -2x = 2x
22 + 2x = 26 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + 2x = 26 + 0
22 + 2x = 26

Add '-22' to each side of the equation.
22 + -22 + 2x = 26 + -22

Combine like terms: 22 + -22 = 0
0 + 2x = 26 + -22
2x = 26 + -22

Combine like terms: 26 + -22 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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