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

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

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

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

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

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

Combine like terms: 3 + 4 = 7
7 + 3x + 2x = 4(x + 2)

Combine like terms: 3x + 2x = 5x
7 + 5x = 4(x + 2)

Reorder the terms:
7 + 5x = 4(2 + x)
7 + 5x = (2 * 4 + x * 4)
7 + 5x = (8 + 4x)

Solving
7 + 5x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + 5x + -4x = 8 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
7 + 1x = 8 + 0
7 + 1x = 8

Add '-7' to each side of the equation.
7 + -7 + 1x = 8 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 8 + -7
1x = 8 + -7

Combine like terms: 8 + -7 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1