5x+10=x-30

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


Simplifying
5x + 10 = x + -30

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

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

Solving
10 + 5x = -30 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + 5x + -1x = -30 + x + -1x

Combine like terms: 5x + -1x = 4x
10 + 4x = -30 + x + -1x

Combine like terms: x + -1x = 0
10 + 4x = -30 + 0
10 + 4x = -30

Add '-10' to each side of the equation.
10 + -10 + 4x = -30 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = -30 + -10
4x = -30 + -10

Combine like terms: -30 + -10 = -40
4x = -40

Divide each side by '4'.
x = -10

Simplifying
x = -10

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