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

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

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

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

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

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

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

Combine like terms: 6x + -2x = 4x
3 + 4x = 5 + -1(x + -5)

Reorder the terms:
3 + 4x = 5 + -1(-5 + x)
3 + 4x = 5 + (-5 * -1 + x * -1)
3 + 4x = 5 + (5 + -1x)

Combine like terms: 5 + 5 = 10
3 + 4x = 10 + -1x

Solving
3 + 4x = 10 + -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.
3 + 4x + x = 10 + -1x + x

Combine like terms: 4x + x = 5x
3 + 5x = 10 + -1x + x

Combine like terms: -1x + x = 0
3 + 5x = 10 + 0
3 + 5x = 10

Add '-3' to each side of the equation.
3 + -3 + 5x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 10 + -3
5x = 10 + -3

Combine like terms: 10 + -3 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4