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

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

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

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

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

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

Combine like terms: 2x + 5x = 7x
1 + 7x = 3(x + -1)

Reorder the terms:
1 + 7x = 3(-1 + x)
1 + 7x = (-1 * 3 + x * 3)
1 + 7x = (-3 + 3x)

Solving
1 + 7x = -3 + 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.
1 + 7x + -3x = -3 + 3x + -3x

Combine like terms: 7x + -3x = 4x
1 + 4x = -3 + 3x + -3x

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

Add '-1' to each side of the equation.
1 + -1 + 4x = -3 + -1

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

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

Divide each side by '4'.
x = -1

Simplifying
x = -1