3(x-2)+2=2(x-10)

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Solution for 3(x-2)+2=2(x-10) equation:


Simplifying
3(x + -2) + 2 = 2(x + -10)

Reorder the terms:
3(-2 + x) + 2 = 2(x + -10)
(-2 * 3 + x * 3) + 2 = 2(x + -10)
(-6 + 3x) + 2 = 2(x + -10)

Reorder the terms:
-6 + 2 + 3x = 2(x + -10)

Combine like terms: -6 + 2 = -4
-4 + 3x = 2(x + -10)

Reorder the terms:
-4 + 3x = 2(-10 + x)
-4 + 3x = (-10 * 2 + x * 2)
-4 + 3x = (-20 + 2x)

Solving
-4 + 3x = -20 + 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.
-4 + 3x + -2x = -20 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-4 + 1x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 1x = -20 + 0
-4 + 1x = -20

Add '4' to each side of the equation.
-4 + 4 + 1x = -20 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -20 + 4
1x = -20 + 4

Combine like terms: -20 + 4 = -16
1x = -16

Divide each side by '1'.
x = -16

Simplifying
x = -16

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