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

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

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

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

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

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

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

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

Reorder the terms:
8 + -1x = 5(3 + x)
8 + -1x = (3 * 5 + x * 5)
8 + -1x = (15 + 5x)

Solving
8 + -1x = 15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + -1x + -5x = 15 + 5x + -5x

Combine like terms: -1x + -5x = -6x
8 + -6x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -6x = 15 + 0
8 + -6x = 15

Add '-8' to each side of the equation.
8 + -8 + -6x = 15 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = 15 + -8
-6x = 15 + -8

Combine like terms: 15 + -8 = 7
-6x = 7

Divide each side by '-6'.
x = -1.166666667

Simplifying
x = -1.166666667