5x+40=14x-59

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Solution for 5x+40=14x-59 equation:


Simplifying
5x + 40 = 14x + -59

Reorder the terms:
40 + 5x = 14x + -59

Reorder the terms:
40 + 5x = -59 + 14x

Solving
40 + 5x = -59 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
40 + 5x + -14x = -59 + 14x + -14x

Combine like terms: 5x + -14x = -9x
40 + -9x = -59 + 14x + -14x

Combine like terms: 14x + -14x = 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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