3x-5(x-1)=-3+5x-26

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Solution for 3x-5(x-1)=-3+5x-26 equation:


Simplifying
3x + -5(x + -1) = -3 + 5x + -26

Reorder the terms:
3x + -5(-1 + x) = -3 + 5x + -26
3x + (-1 * -5 + x * -5) = -3 + 5x + -26
3x + (5 + -5x) = -3 + 5x + -26

Reorder the terms:
5 + 3x + -5x = -3 + 5x + -26

Combine like terms: 3x + -5x = -2x
5 + -2x = -3 + 5x + -26

Reorder the terms:
5 + -2x = -3 + -26 + 5x

Combine like terms: -3 + -26 = -29
5 + -2x = -29 + 5x

Solving
5 + -2x = -29 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
5 + -2x + -5x = -29 + 5x + -5x

Combine like terms: -2x + -5x = -7x
5 + -7x = -29 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -7x = -29 + 0
5 + -7x = -29

Add '-5' to each side of the equation.
5 + -5 + -7x = -29 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = -29 + -5
-7x = -29 + -5

Combine like terms: -29 + -5 = -34
-7x = -34

Divide each side by '-7'.
x = 4.857142857

Simplifying
x = 4.857142857

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