2x-1(x-1)=5-1(x-3)

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Solution for 2x-1(x-1)=5-1(x-3) equation: 


Simplifying
2x + -1(x + -1) = 5 + -1(x + -3)

Reorder the terms:
2x + -1(-1 + x) = 5 + -1(x + -3)
2x + (-1 * -1 + x * -1) = 5 + -1(x + -3)
2x + (1 + -1x) = 5 + -1(x + -3)

Reorder the terms:
1 + 2x + -1x = 5 + -1(x + -3)

Combine like terms: 2x + -1x = 1x
1 + 1x = 5 + -1(x + -3)

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

Combine like terms: 5 + 3 = 8
1 + 1x = 8 + -1x

Solving
1 + 1x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + 1x + x = 8 + -1x + x

Combine like terms: 1x + x = 2x
1 + 2x = 8 + -1x + x

Combine like terms: -1x + x = 0
1 + 2x = 8 + 0
1 + 2x = 8

Add '-1' to each side of the equation.
1 + -1 + 2x = 8 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 8 + -1
2x = 8 + -1

Combine like terms: 8 + -1 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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