12x+2-3x=5-(x-2)

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Solution for 12x+2-3x=5-(x-2) equation: 


Simplifying
12x + 2 + -3x = 5 + -1(x + -2)

Reorder the terms:
2 + 12x + -3x = 5 + -1(x + -2)

Combine like terms: 12x + -3x = 9x
2 + 9x = 5 + -1(x + -2)

Reorder the terms:
2 + 9x = 5 + -1(-2 + x)
2 + 9x = 5 + (-2 * -1 + x * -1)
2 + 9x = 5 + (2 + -1x)

Combine like terms: 5 + 2 = 7
2 + 9x = 7 + -1x

Solving
2 + 9x = 7 + -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.
2 + 9x + x = 7 + -1x + x

Combine like terms: 9x + x = 10x
2 + 10x = 7 + -1x + x

Combine like terms: -1x + x = 0
2 + 10x = 7 + 0
2 + 10x = 7

Add '-2' to each side of the equation.
2 + -2 + 10x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 10x = 7 + -2
10x = 7 + -2

Combine like terms: 7 + -2 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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