3x+40=11x-32

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Solution for 3x+40=11x-32 equation:


Simplifying
3x + 40 = 11x + -32

Reorder the terms:
40 + 3x = 11x + -32

Reorder the terms:
40 + 3x = -32 + 11x

Solving
40 + 3x = -32 + 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 + 3x + -11x = -32 + 11x + -11x

Combine like terms: 3x + -11x = -8x
40 + -8x = -32 + 11x + -11x

Combine like terms: 11x + -11x = 0
40 + -8x = -32 + 0
40 + -8x = -32

Add '-40' to each side of the equation.
40 + -40 + -8x = -32 + -40

Combine like terms: 40 + -40 = 0
0 + -8x = -32 + -40
-8x = -32 + -40

Combine like terms: -32 + -40 = -72
-8x = -72

Divide each side by '-8'.
x = 9

Simplifying
x = 9

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