5(-3x+1)=-14(x-1)

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Solution for 5(-3x+1)=-14(x-1) equation:


Simplifying
5(-3x + 1) = -14(x + -1)

Reorder the terms:
5(1 + -3x) = -14(x + -1)
(1 * 5 + -3x * 5) = -14(x + -1)
(5 + -15x) = -14(x + -1)

Reorder the terms:
5 + -15x = -14(-1 + x)
5 + -15x = (-1 * -14 + x * -14)
5 + -15x = (14 + -14x)

Solving
5 + -15x = 14 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
5 + -15x + 14x = 14 + -14x + 14x

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

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 14 + -5

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

Combine like terms: 14 + -5 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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