3x+10=8x+20

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Solution for 3x+10=8x+20 equation:


Simplifying
3x + 10 = 8x + 20

Reorder the terms:
10 + 3x = 8x + 20

Reorder the terms:
10 + 3x = 20 + 8x

Solving
10 + 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.
10 + 3x + -8x = 20 + 8x + -8x

Combine like terms: 3x + -8x = -5x
10 + -5x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -5x = 20 + 0
10 + -5x = 20

Add '-10' to each side of the equation.
10 + -10 + -5x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 20 + -10
-5x = 20 + -10

Combine like terms: 20 + -10 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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