2x+70=5x-20

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Solution for 2x+70=5x-20 equation:


Simplifying
2x + 70 = 5x + -20

Reorder the terms:
70 + 2x = 5x + -20

Reorder the terms:
70 + 2x = -20 + 5x

Solving
70 + 2x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
70 + 2x + -5x = -20 + 5x + -5x

Combine like terms: 2x + -5x = -3x
70 + -3x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
70 + -3x = -20 + 0
70 + -3x = -20

Add '-70' to each side of the equation.
70 + -70 + -3x = -20 + -70

Combine like terms: 70 + -70 = 0
0 + -3x = -20 + -70
-3x = -20 + -70

Combine like terms: -20 + -70 = -90
-3x = -90

Divide each side by '-3'.
x = 30

Simplifying
x = 30

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