6x+7=12x-3

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


Simplifying
6x + 7 = 12x + -3

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

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

Solving
7 + 6x = -3 + 12x

Solving for variable 'x'.

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

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

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

Combine like terms: 12x + -12x = 0
7 + -6x = -3 + 0
7 + -6x = -3

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

Combine like terms: 7 + -7 = 0
0 + -6x = -3 + -7
-6x = -3 + -7

Combine like terms: -3 + -7 = -10
-6x = -10

Divide each side by '-6'.
x = 1.666666667

Simplifying
x = 1.666666667

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