12x+2-3x=10(x-2)

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Solution for 12x+2-3x=10(x-2) equation:


Simplifying
12x + 2 + -3x = 10(x + -2)

Reorder the terms:
2 + 12x + -3x = 10(x + -2)

Combine like terms: 12x + -3x = 9x
2 + 9x = 10(x + -2)

Reorder the terms:
2 + 9x = 10(-2 + x)
2 + 9x = (-2 * 10 + x * 10)
2 + 9x = (-20 + 10x)

Solving
2 + 9x = -20 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
2 + 9x + -10x = -20 + 10x + -10x

Combine like terms: 9x + -10x = -1x
2 + -1x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -1x = -20 + 0
2 + -1x = -20

Add '-2' to each side of the equation.
2 + -2 + -1x = -20 + -2

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

Combine like terms: -20 + -2 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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