5x+32=11x-10

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Solution for 5x+32=11x-10 equation:


Simplifying
5x + 32 = 11x + -10

Reorder the terms:
32 + 5x = 11x + -10

Reorder the terms:
32 + 5x = -10 + 11x

Solving
32 + 5x = -10 + 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 + 5x + -11x = -10 + 11x + -11x

Combine like terms: 5x + -11x = -6x
32 + -6x = -10 + 11x + -11x

Combine like terms: 11x + -11x = 0
32 + -6x = -10 + 0
32 + -6x = -10

Add '-32' to each side of the equation.
32 + -32 + -6x = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -6x = -10 + -32
-6x = -10 + -32

Combine like terms: -10 + -32 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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