4x+40=11x-13

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Solution for 4x+40=11x-13 equation:


Simplifying
4x + 40 = 11x + -13

Reorder the terms:
40 + 4x = 11x + -13

Reorder the terms:
40 + 4x = -13 + 11x

Solving
40 + 4x = -13 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
40 + 4x + -11x = -13 + 11x + -11x

Combine like terms: 4x + -11x = -7x
40 + -7x = -13 + 11x + -11x

Combine like terms: 11x + -11x = 0
40 + -7x = -13 + 0
40 + -7x = -13

Add '-40' to each side of the equation.
40 + -40 + -7x = -13 + -40

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

Combine like terms: -13 + -40 = -53
-7x = -53

Divide each side by '-7'.
x = 7.571428571

Simplifying
x = 7.571428571

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