4x+40=13x-59

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Solution for 4x+40=13x-59 equation:


Simplifying
4x + 40 = 13x + -59

Reorder the terms:
40 + 4x = 13x + -59

Reorder the terms:
40 + 4x = -59 + 13x

Solving
40 + 4x = -59 + 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 + 4x + -13x = -59 + 13x + -13x

Combine like terms: 4x + -13x = -9x
40 + -9x = -59 + 13x + -13x

Combine like terms: 13x + -13x = 0
40 + -9x = -59 + 0
40 + -9x = -59

Add '-40' to each side of the equation.
40 + -40 + -9x = -59 + -40

Combine like terms: 40 + -40 = 0
0 + -9x = -59 + -40
-9x = -59 + -40

Combine like terms: -59 + -40 = -99
-9x = -99

Divide each side by '-9'.
x = 11

Simplifying
x = 11

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