4(x-2)+x=2(3-2x)+14

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Solution for 4(x-2)+x=2(3-2x)+14 equation: 


Simplifying
4(x + -2) + x = 2(3 + -2x) + 14

Reorder the terms:
4(-2 + x) + x = 2(3 + -2x) + 14
(-2 * 4 + x * 4) + x = 2(3 + -2x) + 14
(-8 + 4x) + x = 2(3 + -2x) + 14

Combine like terms: 4x + x = 5x
-8 + 5x = 2(3 + -2x) + 14
-8 + 5x = (3 * 2 + -2x * 2) + 14
-8 + 5x = (6 + -4x) + 14

Reorder the terms:
-8 + 5x = 6 + 14 + -4x

Combine like terms: 6 + 14 = 20
-8 + 5x = 20 + -4x

Solving
-8 + 5x = 20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-8 + 5x + 4x = 20 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-8 + 9x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 9x = 20 + 0
-8 + 9x = 20

Add '8' to each side of the equation.
-8 + 8 + 9x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 20 + 8
9x = 20 + 8

Combine like terms: 20 + 8 = 28
9x = 28

Divide each side by '9'.
x = 3.111111111

Simplifying
x = 3.111111111

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