6x+30=20x-40

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Solution for 6x+30=20x-40 equation:


Simplifying
6x + 30 = 20x + -40

Reorder the terms:
30 + 6x = 20x + -40

Reorder the terms:
30 + 6x = -40 + 20x

Solving
30 + 6x = -40 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
30 + 6x + -20x = -40 + 20x + -20x

Combine like terms: 6x + -20x = -14x
30 + -14x = -40 + 20x + -20x

Combine like terms: 20x + -20x = 0
30 + -14x = -40 + 0
30 + -14x = -40

Add '-30' to each side of the equation.
30 + -30 + -14x = -40 + -30

Combine like terms: 30 + -30 = 0
0 + -14x = -40 + -30
-14x = -40 + -30

Combine like terms: -40 + -30 = -70
-14x = -70

Divide each side by '-14'.
x = 5

Simplifying
x = 5

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