3x+20=11x-52

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Solution for 3x+20=11x-52 equation:


Simplifying
3x + 20 = 11x + -52

Reorder the terms:
20 + 3x = 11x + -52

Reorder the terms:
20 + 3x = -52 + 11x

Solving
20 + 3x = -52 + 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.
20 + 3x + -11x = -52 + 11x + -11x

Combine like terms: 3x + -11x = -8x
20 + -8x = -52 + 11x + -11x

Combine like terms: 11x + -11x = 0
20 + -8x = -52 + 0
20 + -8x = -52

Add '-20' to each side of the equation.
20 + -20 + -8x = -52 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = -52 + -20
-8x = -52 + -20

Combine like terms: -52 + -20 = -72
-8x = -72

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

Simplifying
x = 9

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