6x+40=12x-13

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Solution for 6x+40=12x-13 equation:


Simplifying
6x + 40 = 12x + -13

Reorder the terms:
40 + 6x = 12x + -13

Reorder the terms:
40 + 6x = -13 + 12x

Solving
40 + 6x = -13 + 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.
40 + 6x + -12x = -13 + 12x + -12x

Combine like terms: 6x + -12x = -6x
40 + -6x = -13 + 12x + -12x

Combine like terms: 12x + -12x = 0
40 + -6x = -13 + 0
40 + -6x = -13

Add '-40' to each side of the equation.
40 + -40 + -6x = -13 + -40

Combine like terms: 40 + -40 = 0
0 + -6x = -13 + -40
-6x = -13 + -40

Combine like terms: -13 + -40 = -53
-6x = -53

Divide each side by '-6'.
x = 8.833333333

Simplifying
x = 8.833333333

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