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

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


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

Reorder the terms:
1 + -5(-5 + x) = 1 + -3(x + -1)
1 + (-5 * -5 + x * -5) = 1 + -3(x + -1)
1 + (25 + -5x) = 1 + -3(x + -1)

Combine like terms: 1 + 25 = 26
26 + -5x = 1 + -3(x + -1)

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

Combine like terms: 1 + 3 = 4
26 + -5x = 4 + -3x

Solving
26 + -5x = 4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
26 + -5x + 3x = 4 + -3x + 3x

Combine like terms: -5x + 3x = -2x
26 + -2x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
26 + -2x = 4 + 0
26 + -2x = 4

Add '-26' to each side of the equation.
26 + -26 + -2x = 4 + -26

Combine like terms: 26 + -26 = 0
0 + -2x = 4 + -26
-2x = 4 + -26

Combine like terms: 4 + -26 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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