13x+10=5x-30

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Solution for 13x+10=5x-30 equation:


Simplifying
13x + 10 = 5x + -30

Reorder the terms:
10 + 13x = 5x + -30

Reorder the terms:
10 + 13x = -30 + 5x

Solving
10 + 13x = -30 + 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.
10 + 13x + -5x = -30 + 5x + -5x

Combine like terms: 13x + -5x = 8x
10 + 8x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + 8x = -30 + 0
10 + 8x = -30

Add '-10' to each side of the equation.
10 + -10 + 8x = -30 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = -30 + -10
8x = -30 + -10

Combine like terms: -30 + -10 = -40
8x = -40

Divide each side by '8'.
x = -5

Simplifying
x = -5

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