5x+30=3x-10

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Solution for 5x+30=3x-10 equation:


Simplifying
5x + 30 = 3x + -10

Reorder the terms:
30 + 5x = 3x + -10

Reorder the terms:
30 + 5x = -10 + 3x

Solving
30 + 5x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
30 + 5x + -3x = -10 + 3x + -3x

Combine like terms: 5x + -3x = 2x
30 + 2x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + 2x = -10 + 0
30 + 2x = -10

Add '-30' to each side of the equation.
30 + -30 + 2x = -10 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = -10 + -30
2x = -10 + -30

Combine like terms: -10 + -30 = -40
2x = -40

Divide each side by '2'.
x = -20

Simplifying
x = -20

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