4x+32=11x-31

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Solution for 4x+32=11x-31 equation:


Simplifying
4x + 32 = 11x + -31

Reorder the terms:
32 + 4x = 11x + -31

Reorder the terms:
32 + 4x = -31 + 11x

Solving
32 + 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.
32 + 4x + -11x = -31 + 11x + -11x

Combine like terms: 4x + -11x = -7x
32 + -7x = -31 + 11x + -11x

Combine like terms: 11x + -11x = 0
32 + -7x = -31 + 0
32 + -7x = -31

Add '-32' to each side of the equation.
32 + -32 + -7x = -31 + -32

Combine like terms: 32 + -32 = 0
0 + -7x = -31 + -32
-7x = -31 + -32

Combine like terms: -31 + -32 = -63
-7x = -63

Divide each side by '-7'.
x = 9

Simplifying
x = 9

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