(6x+3)=(7x-12)

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Solution for (6x+3)=(7x-12) equation:


Simplifying
(6x + 3) = (7x + -12)

Reorder the terms:
(3 + 6x) = (7x + -12)

Remove parenthesis around (3 + 6x)
3 + 6x = (7x + -12)

Reorder the terms:
3 + 6x = (-12 + 7x)

Remove parenthesis around (-12 + 7x)
3 + 6x = -12 + 7x

Solving
3 + 6x = -12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + 6x + -7x = -12 + 7x + -7x

Combine like terms: 6x + -7x = -1x
3 + -1x = -12 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -1x = -12 + 0
3 + -1x = -12

Add '-3' to each side of the equation.
3 + -3 + -1x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -12 + -3
-1x = -12 + -3

Combine like terms: -12 + -3 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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