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

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


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

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

Combine like terms: 3 + 4 = 7
7 + -2x = 3(x + 2)

Reorder the terms:
7 + -2x = 3(2 + x)
7 + -2x = (2 * 3 + x * 3)
7 + -2x = (6 + 3x)

Solving
7 + -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.
7 + -2x + -3x = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
7 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -5x = 6 + 0
7 + -5x = 6

Add '-7' to each side of the equation.
7 + -7 + -5x = 6 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 6 + -7
-5x = 6 + -7

Combine like terms: 6 + -7 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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