3x+75=8x+20

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Solution for 3x+75=8x+20 equation:


Simplifying
3x + 75 = 8x + 20

Reorder the terms:
75 + 3x = 8x + 20

Reorder the terms:
75 + 3x = 20 + 8x

Solving
75 + 3x = 20 + 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.
75 + 3x + -8x = 20 + 8x + -8x

Combine like terms: 3x + -8x = -5x
75 + -5x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
75 + -5x = 20 + 0
75 + -5x = 20

Add '-75' to each side of the equation.
75 + -75 + -5x = 20 + -75

Combine like terms: 75 + -75 = 0
0 + -5x = 20 + -75
-5x = 20 + -75

Combine like terms: 20 + -75 = -55
-5x = -55

Divide each side by '-5'.
x = 11

Simplifying
x = 11

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