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

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


Simplifying
12x + 2 + -3 = 10 + -1(x + -2)

Reorder the terms:
2 + -3 + 12x = 10 + -1(x + -2)

Combine like terms: 2 + -3 = -1
-1 + 12x = 10 + -1(x + -2)

Reorder the terms:
-1 + 12x = 10 + -1(-2 + x)
-1 + 12x = 10 + (-2 * -1 + x * -1)
-1 + 12x = 10 + (2 + -1x)

Combine like terms: 10 + 2 = 12
-1 + 12x = 12 + -1x

Solving
-1 + 12x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-1 + 12x + x = 12 + -1x + x

Combine like terms: 12x + x = 13x
-1 + 13x = 12 + -1x + x

Combine like terms: -1x + x = 0
-1 + 13x = 12 + 0
-1 + 13x = 12

Add '1' to each side of the equation.
-1 + 1 + 13x = 12 + 1

Combine like terms: -1 + 1 = 0
0 + 13x = 12 + 1
13x = 12 + 1

Combine like terms: 12 + 1 = 13
13x = 13

Divide each side by '13'.
x = 1

Simplifying
x = 1

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