10-15x+(2x-5)=x-30

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Solution for 10-15x+(2x-5)=x-30 equation:


Simplifying
10 + -15x + (2x + -5) = x + -30

Reorder the terms:
10 + -15x + (-5 + 2x) = x + -30

Remove parenthesis around (-5 + 2x)
10 + -15x + -5 + 2x = x + -30

Reorder the terms:
10 + -5 + -15x + 2x = x + -30

Combine like terms: 10 + -5 = 5
5 + -15x + 2x = x + -30

Combine like terms: -15x + 2x = -13x
5 + -13x = x + -30

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

Solving
5 + -13x = -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.
5 + -13x + -1x = -30 + x + -1x

Combine like terms: -13x + -1x = -14x
5 + -14x = -30 + x + -1x

Combine like terms: x + -1x = 0
5 + -14x = -30 + 0
5 + -14x = -30

Add '-5' to each side of the equation.
5 + -5 + -14x = -30 + -5

Combine like terms: 5 + -5 = 0
0 + -14x = -30 + -5
-14x = -30 + -5

Combine like terms: -30 + -5 = -35
-14x = -35

Divide each side by '-14'.
x = 2.5

Simplifying
x = 2.5

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