4x-2(2x-9)=2(2x-7)+6x

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Solution for 4x-2(2x-9)=2(2x-7)+6x equation:


Simplifying
4x + -2(2x + -9) = 2(2x + -7) + 6x

Reorder the terms:
4x + -2(-9 + 2x) = 2(2x + -7) + 6x
4x + (-9 * -2 + 2x * -2) = 2(2x + -7) + 6x
4x + (18 + -4x) = 2(2x + -7) + 6x

Reorder the terms:
18 + 4x + -4x = 2(2x + -7) + 6x

Combine like terms: 4x + -4x = 0
18 + 0 = 2(2x + -7) + 6x
18 = 2(2x + -7) + 6x

Reorder the terms:
18 = 2(-7 + 2x) + 6x
18 = (-7 * 2 + 2x * 2) + 6x
18 = (-14 + 4x) + 6x

Combine like terms: 4x + 6x = 10x
18 = -14 + 10x

Solving
18 = -14 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
18 + -10x = -14 + 10x + -10x

Combine like terms: 10x + -10x = 0
18 + -10x = -14 + 0
18 + -10x = -14

Add '-18' to each side of the equation.
18 + -18 + -10x = -14 + -18

Combine like terms: 18 + -18 = 0
0 + -10x = -14 + -18
-10x = -14 + -18

Combine like terms: -14 + -18 = -32
-10x = -32

Divide each side by '-10'.
x = 3.2

Simplifying
x = 3.2

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