4(x+3)-2x=20-2(x+2)

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Solution for 4(x+3)-2x=20-2(x+2) equation: 


Simplifying
4(x + 3) + -2x = 20 + -2(x + 2)

Reorder the terms:
4(3 + x) + -2x = 20 + -2(x + 2)
(3 * 4 + x * 4) + -2x = 20 + -2(x + 2)
(12 + 4x) + -2x = 20 + -2(x + 2)

Combine like terms: 4x + -2x = 2x
12 + 2x = 20 + -2(x + 2)

Reorder the terms:
12 + 2x = 20 + -2(2 + x)
12 + 2x = 20 + (2 * -2 + x * -2)
12 + 2x = 20 + (-4 + -2x)

Combine like terms: 20 + -4 = 16
12 + 2x = 16 + -2x

Solving
12 + 2x = 16 + -2x

Solving for variable 'x'.

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

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

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

Combine like terms: -2x + 2x = 0
12 + 4x = 16 + 0
12 + 4x = 16

Add '-12' to each side of the equation.
12 + -12 + 4x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 16 + -12
4x = 16 + -12

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

Divide each side by '4'.
x = 1

Simplifying
x = 1

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