3x+20=8x-11

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Solution for 3x+20=8x-11 equation:


Simplifying
3x + 20 = 8x + -11

Reorder the terms:
20 + 3x = 8x + -11

Reorder the terms:
20 + 3x = -11 + 8x

Solving
20 + 3x = -11 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
20 + 3x + -8x = -11 + 8x + -8x

Combine like terms: 3x + -8x = -5x
20 + -5x = -11 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -5x = -11 + 0
20 + -5x = -11

Add '-20' to each side of the equation.
20 + -20 + -5x = -11 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -11 + -20
-5x = -11 + -20

Combine like terms: -11 + -20 = -31
-5x = -31

Divide each side by '-5'.
x = 6.2

Simplifying
x = 6.2

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