7x+40=13x-37

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Solution for 7x+40=13x-37 equation:


Simplifying
7x + 40 = 13x + -37

Reorder the terms:
40 + 7x = 13x + -37

Reorder the terms:
40 + 7x = -37 + 13x

Solving
40 + 7x = -37 + 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 + 7x + -13x = -37 + 13x + -13x

Combine like terms: 7x + -13x = -6x
40 + -6x = -37 + 13x + -13x

Combine like terms: 13x + -13x = 0
40 + -6x = -37 + 0
40 + -6x = -37

Add '-40' to each side of the equation.
40 + -40 + -6x = -37 + -40

Combine like terms: 40 + -40 = 0
0 + -6x = -37 + -40
-6x = -37 + -40

Combine like terms: -37 + -40 = -77
-6x = -77

Divide each side by '-6'.
x = 12.83333333

Simplifying
x = 12.83333333

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