22-3(x-2)=2(4+x)

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Solution for 22-3(x-2)=2(4+x) equation:


Simplifying
22 + -3(x + -2) = 2(4 + x)

Reorder the terms:
22 + -3(-2 + x) = 2(4 + x)
22 + (-2 * -3 + x * -3) = 2(4 + x)
22 + (6 + -3x) = 2(4 + x)

Combine like terms: 22 + 6 = 28
28 + -3x = 2(4 + x)
28 + -3x = (4 * 2 + x * 2)
28 + -3x = (8 + 2x)

Solving
28 + -3x = 8 + 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.
28 + -3x + -2x = 8 + 2x + -2x

Combine like terms: -3x + -2x = -5x
28 + -5x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
28 + -5x = 8 + 0
28 + -5x = 8

Add '-28' to each side of the equation.
28 + -28 + -5x = 8 + -28

Combine like terms: 28 + -28 = 0
0 + -5x = 8 + -28
-5x = 8 + -28

Combine like terms: 8 + -28 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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