6x+40=13x-16

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Solution for 6x+40=13x-16 equation:


Simplifying
6x + 40 = 13x + -16

Reorder the terms:
40 + 6x = 13x + -16

Reorder the terms:
40 + 6x = -16 + 13x

Solving
40 + 6x = -16 + 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.
40 + 6x + -13x = -16 + 13x + -13x

Combine like terms: 6x + -13x = -7x
40 + -7x = -16 + 13x + -13x

Combine like terms: 13x + -13x = 0
40 + -7x = -16 + 0
40 + -7x = -16

Add '-40' to each side of the equation.
40 + -40 + -7x = -16 + -40

Combine like terms: 40 + -40 = 0
0 + -7x = -16 + -40
-7x = -16 + -40

Combine like terms: -16 + -40 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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