3x+30=13x-70

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Solution for 3x+30=13x-70 equation:


Simplifying
3x + 30 = 13x + -70

Reorder the terms:
30 + 3x = 13x + -70

Reorder the terms:
30 + 3x = -70 + 13x

Solving
30 + 3x = -70 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
30 + 3x + -13x = -70 + 13x + -13x

Combine like terms: 3x + -13x = -10x
30 + -10x = -70 + 13x + -13x

Combine like terms: 13x + -13x = 0
30 + -10x = -70 + 0
30 + -10x = -70

Add '-30' to each side of the equation.
30 + -30 + -10x = -70 + -30

Combine like terms: 30 + -30 = 0
0 + -10x = -70 + -30
-10x = -70 + -30

Combine like terms: -70 + -30 = -100
-10x = -100

Divide each side by '-10'.
x = 10

Simplifying
x = 10

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