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

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


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

Reorder the terms:
2(5 + 2x) + 6 = 4(x + -3) + 2x
(5 * 2 + 2x * 2) + 6 = 4(x + -3) + 2x
(10 + 4x) + 6 = 4(x + -3) + 2x

Reorder the terms:
10 + 6 + 4x = 4(x + -3) + 2x

Combine like terms: 10 + 6 = 16
16 + 4x = 4(x + -3) + 2x

Reorder the terms:
16 + 4x = 4(-3 + x) + 2x
16 + 4x = (-3 * 4 + x * 4) + 2x
16 + 4x = (-12 + 4x) + 2x

Combine like terms: 4x + 2x = 6x
16 + 4x = -12 + 6x

Solving
16 + 4x = -12 + 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.
16 + 4x + -6x = -12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
16 + -2x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -2x = -12 + 0
16 + -2x = -12

Add '-16' to each side of the equation.
16 + -16 + -2x = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -12 + -16
-2x = -12 + -16

Combine like terms: -12 + -16 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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