8x-3(2x-1)=3(x-1)+5

Solution for 8x-3(2x-1)=3(x-1)+5 equation:

Simplifying
8x + -3(2x + -1) = 3(x + -1) + 5

Reorder the terms:
8x + -3(-1 + 2x) = 3(x + -1) + 5
8x + (-1 * -3 + 2x * -3) = 3(x + -1) + 5
8x + (3 + -6x) = 3(x + -1) + 5

Reorder the terms:
3 + 8x + -6x = 3(x + -1) + 5

Combine like terms: 8x + -6x = 2x
3 + 2x = 3(x + -1) + 5

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

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

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

Solving
3 + 2x = 2 + 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.
3 + 2x + -3x = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
3 + -1x = 2 + 0
3 + -1x = 2

Add '-3' to each side of the equation.
3 + -3 + -1x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 2 + -3
-1x = 2 + -3

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

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

Simplifying
x = 1