3x+70=5x-10

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Solution for 3x+70=5x-10 equation:


Simplifying
3x + 70 = 5x + -10

Reorder the terms:
70 + 3x = 5x + -10

Reorder the terms:
70 + 3x = -10 + 5x

Solving
70 + 3x = -10 + 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 + 3x + -5x = -10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
70 + -2x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
70 + -2x = -10 + 0
70 + -2x = -10

Add '-70' to each side of the equation.
70 + -70 + -2x = -10 + -70

Combine like terms: 70 + -70 = 0
0 + -2x = -10 + -70
-2x = -10 + -70

Combine like terms: -10 + -70 = -80
-2x = -80

Divide each side by '-2'.
x = 40

Simplifying
x = 40

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