2(x+1)+3x+4=8x+5(x+1)

Solution for 2(x+1)+3x+4=8x+5(x+1) equation:

Simplifying
2(x + 1) + 3x + 4 = 8x + 5(x + 1)

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

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

Combine like terms: 2 + 4 = 6
6 + 2x + 3x = 8x + 5(x + 1)

Combine like terms: 2x + 3x = 5x
6 + 5x = 8x + 5(x + 1)

Reorder the terms:
6 + 5x = 8x + 5(1 + x)
6 + 5x = 8x + (1 * 5 + x * 5)
6 + 5x = 8x + (5 + 5x)

Reorder the terms:
6 + 5x = 5 + 8x + 5x

Combine like terms: 8x + 5x = 13x
6 + 5x = 5 + 13x

Solving
6 + 5x = 5 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
6 + 5x + -13x = 5 + 13x + -13x

Combine like terms: 5x + -13x = -8x
6 + -8x = 5 + 13x + -13x

Combine like terms: 13x + -13x = 0
6 + -8x = 5 + 0
6 + -8x = 5

Add '-6' to each side of the equation.
6 + -6 + -8x = 5 + -6

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

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

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125