4x+2(x-2)=5x-16+2x

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Solution for 4x+2(x-2)=5x-16+2x equation:


Simplifying
4x + 2(x + -2) = 5x + -16 + 2x

Reorder the terms:
4x + 2(-2 + x) = 5x + -16 + 2x
4x + (-2 * 2 + x * 2) = 5x + -16 + 2x
4x + (-4 + 2x) = 5x + -16 + 2x

Reorder the terms:
-4 + 4x + 2x = 5x + -16 + 2x

Combine like terms: 4x + 2x = 6x
-4 + 6x = 5x + -16 + 2x

Reorder the terms:
-4 + 6x = -16 + 5x + 2x

Combine like terms: 5x + 2x = 7x
-4 + 6x = -16 + 7x

Solving
-4 + 6x = -16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 6x + -7x = -16 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-4 + -1x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -1x = -16 + 0
-4 + -1x = -16

Add '4' to each side of the equation.
-4 + 4 + -1x = -16 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -16 + 4
-1x = -16 + 4

Combine like terms: -16 + 4 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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