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

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


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

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

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

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

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

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

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

Combine like terms: 2x + -2x = 0
-2 + 1x = -4 + 0
-2 + 1x = -4

Add '2' to each side of the equation.
-2 + 2 + 1x = -4 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = -4 + 2
1x = -4 + 2

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

Divide each side by '1'.
x = -2

Simplifying
x = -2

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