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

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


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

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

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

Solving
-4 + 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.
-4 + 2x + -3x = 6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-4 + -1x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + -1x = 6 + 0
-4 + -1x = 6

Add '4' to each side of the equation.
-4 + 4 + -1x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 6 + 4
-1x = 6 + 4

Combine like terms: 6 + 4 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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