-5(x-1)=-9x+1

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Solution for -5(x-1)=-9x+1 equation:


Simplifying
-5(x + -1) = -9x + 1

Reorder the terms:
-5(-1 + x) = -9x + 1
(-1 * -5 + x * -5) = -9x + 1
(5 + -5x) = -9x + 1

Reorder the terms:
5 + -5x = 1 + -9x

Solving
5 + -5x = 1 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
5 + -5x + 9x = 1 + -9x + 9x

Combine like terms: -5x + 9x = 4x
5 + 4x = 1 + -9x + 9x

Combine like terms: -9x + 9x = 0
5 + 4x = 1 + 0
5 + 4x = 1

Add '-5' to each side of the equation.
5 + -5 + 4x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 1 + -5
4x = 1 + -5

Combine like terms: 1 + -5 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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