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

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


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

Reorder the terms:
4(2 + x) + -2x = 3(2 + x)
(2 * 4 + x * 4) + -2x = 3(2 + x)
(8 + 4x) + -2x = 3(2 + x)

Combine like terms: 4x + -2x = 2x
8 + 2x = 3(2 + x)
8 + 2x = (2 * 3 + x * 3)
8 + 2x = (6 + 3x)

Solving
8 + 2x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 2x + -3x = 6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
8 + -1x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -1x = 6 + 0
8 + -1x = 6

Add '-8' to each side of the equation.
8 + -8 + -1x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 6 + -8
-1x = 6 + -8

Combine like terms: 6 + -8 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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