10x+20=30x-50

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Solution for 10x+20=30x-50 equation:


Simplifying
10x + 20 = 30x + -50

Reorder the terms:
20 + 10x = 30x + -50

Reorder the terms:
20 + 10x = -50 + 30x

Solving
20 + 10x = -50 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
20 + 10x + -30x = -50 + 30x + -30x

Combine like terms: 10x + -30x = -20x
20 + -20x = -50 + 30x + -30x

Combine like terms: 30x + -30x = 0
20 + -20x = -50 + 0
20 + -20x = -50

Add '-20' to each side of the equation.
20 + -20 + -20x = -50 + -20

Combine like terms: 20 + -20 = 0
0 + -20x = -50 + -20
-20x = -50 + -20

Combine like terms: -50 + -20 = -70
-20x = -70

Divide each side by '-20'.
x = 3.5

Simplifying
x = 3.5

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