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

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

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

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

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

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

Combine like terms: -5 + 1 = -4
-4 + 5x + -2x = 3 + -1x

Combine like terms: 5x + -2x = 3x
-4 + 3x = 3 + -1x

Solving
-4 + 3x = 3 + -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.
-4 + 3x + x = 3 + -1x + x

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

Combine like terms: -1x + x = 0
-4 + 4x = 3 + 0
-4 + 4x = 3

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

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

Combine like terms: 3 + 4 = 7
4x = 7

Divide each side by '4'.
x = 1.75

Simplifying
x = 1.75