(2x-3)=x-12+7x

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Solution for (2x-3)=x-12+7x equation:


Simplifying
(2x + -3) = x + -12 + 7x

Reorder the terms:
(-3 + 2x) = x + -12 + 7x

Remove parenthesis around (-3 + 2x)
-3 + 2x = x + -12 + 7x

Reorder the terms:
-3 + 2x = -12 + x + 7x

Combine like terms: x + 7x = 8x
-3 + 2x = -12 + 8x

Solving
-3 + 2x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-3 + 2x + -8x = -12 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-3 + -6x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -6x = -12 + 0
-3 + -6x = -12

Add '3' to each side of the equation.
-3 + 3 + -6x = -12 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = -12 + 3
-6x = -12 + 3

Combine like terms: -12 + 3 = -9
-6x = -9

Divide each side by '-6'.
x = 1.5

Simplifying
x = 1.5

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