2(x+1)+4=3(2x-1)+8

Solution for 2(x+1)+4=3(2x-1)+8 equation:

Simplifying
2(x + 1) + 4 = 3(2x + -1) + 8

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

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

Combine like terms: 2 + 4 = 6
6 + 2x = 3(2x + -1) + 8

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

Reorder the terms:
6 + 2x = -3 + 8 + 6x

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

Solving
6 + 2x = 5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 2x + -6x = 5 + 6x + -6x

Combine like terms: 2x + -6x = -4x
6 + -4x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -4x = 5 + 0
6 + -4x = 5

Add '-6' to each side of the equation.
6 + -6 + -4x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 5 + -6
-4x = 5 + -6

Combine like terms: 5 + -6 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25