4x+36=11x-31

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Solution for 4x+36=11x-31 equation:


Simplifying
4x + 36 = 11x + -31

Reorder the terms:
36 + 4x = 11x + -31

Reorder the terms:
36 + 4x = -31 + 11x

Solving
36 + 4x = -31 + 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.
36 + 4x + -11x = -31 + 11x + -11x

Combine like terms: 4x + -11x = -7x
36 + -7x = -31 + 11x + -11x

Combine like terms: 11x + -11x = 0
36 + -7x = -31 + 0
36 + -7x = -31

Add '-36' to each side of the equation.
36 + -36 + -7x = -31 + -36

Combine like terms: 36 + -36 = 0
0 + -7x = -31 + -36
-7x = -31 + -36

Combine like terms: -31 + -36 = -67
-7x = -67

Divide each side by '-7'.
x = 9.571428571

Simplifying
x = 9.571428571

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