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

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

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

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

Reorder the terms:
3 + 3x + 2(-3 + 2x) = 5(x + -1) + 8
3 + 3x + (-3 * 2 + 2x * 2) = 5(x + -1) + 8
3 + 3x + (-6 + 4x) = 5(x + -1) + 8

Reorder the terms:
3 + -6 + 3x + 4x = 5(x + -1) + 8

Combine like terms: 3 + -6 = -3
-3 + 3x + 4x = 5(x + -1) + 8

Combine like terms: 3x + 4x = 7x
-3 + 7x = 5(x + -1) + 8

Reorder the terms:
-3 + 7x = 5(-1 + x) + 8
-3 + 7x = (-1 * 5 + x * 5) + 8
-3 + 7x = (-5 + 5x) + 8

Reorder the terms:
-3 + 7x = -5 + 8 + 5x

Combine like terms: -5 + 8 = 3
-3 + 7x = 3 + 5x

Solving
-3 + 7x = 3 + 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.
-3 + 7x + -5x = 3 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-3 + 2x = 3 + 0
-3 + 2x = 3

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

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

Combine like terms: 3 + 3 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3