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

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

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

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

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

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

Reorder the terms:
6 + 4x = 5(1 + x)
6 + 4x = (1 * 5 + x * 5)
6 + 4x = (5 + 5x)

Solving
6 + 4x = 5 + 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.
6 + 4x + -5x = 5 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
6 + -1x = 5 + 0
6 + -1x = 5

Add '-6' to each side of the equation.
6 + -6 + -1x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 5 + -6
-1x = 5 + -6

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

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

Simplifying
x = 1