5(-3x-1)=-x+30

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Solution for 5(-3x-1)=-x+30 equation:


Simplifying
5(-3x + -1) = -1x + 30

Reorder the terms:
5(-1 + -3x) = -1x + 30
(-1 * 5 + -3x * 5) = -1x + 30
(-5 + -15x) = -1x + 30

Reorder the terms:
-5 + -15x = 30 + -1x

Solving
-5 + -15x = 30 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + -15x + x = 30 + -1x + x

Combine like terms: -15x + x = -14x
-5 + -14x = 30 + -1x + x

Combine like terms: -1x + x = 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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