8x+2=12x+(x-3)

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Solution for 8x+2=12x+(x-3) equation: 


Simplifying
8x + 2 = 12x + (x + -3)

Reorder the terms:
2 + 8x = 12x + (x + -3)

Reorder the terms:
2 + 8x = 12x + (-3 + x)

Remove parenthesis around (-3 + x)
2 + 8x = 12x + -3 + x

Reorder the terms:
2 + 8x = -3 + 12x + x

Combine like terms: 12x + x = 13x
2 + 8x = -3 + 13x

Solving
2 + 8x = -3 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
2 + 8x + -13x = -3 + 13x + -13x

Combine like terms: 8x + -13x = -5x
2 + -5x = -3 + 13x + -13x

Combine like terms: 13x + -13x = 0
2 + -5x = -3 + 0
2 + -5x = -3

Add '-2' to each side of the equation.
2 + -2 + -5x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -3 + -2
-5x = -3 + -2

Combine like terms: -3 + -2 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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