3x+40=11x-40

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


Simplifying
3x + 40 = 11x + -40

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

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

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

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

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

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

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

Combine like terms: -40 + -40 = -80
-8x = -80

Divide each side by '-8'.
x = 10

Simplifying
x = 10

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