5(-3x+1)+x=x-10

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Solution for 5(-3x+1)+x=x-10 equation:


Simplifying
5(-3x + 1) + x = x + -10

Reorder the terms:
5(1 + -3x) + x = x + -10
(1 * 5 + -3x * 5) + x = x + -10
(5 + -15x) + x = x + -10

Combine like terms: -15x + x = -14x
5 + -14x = x + -10

Reorder the terms:
5 + -14x = -10 + x

Solving
5 + -14x = -10 + 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 + -14x + -1x = -10 + x + -1x

Combine like terms: -14x + -1x = -15x
5 + -15x = -10 + x + -1x

Combine like terms: x + -1x = 0
5 + -15x = -10 + 0
5 + -15x = -10

Add '-5' to each side of the equation.
5 + -5 + -15x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + -15x = -10 + -5
-15x = -10 + -5

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

Divide each side by '-15'.
x = 1

Simplifying
x = 1

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