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

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


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

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

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

Combine like terms: 3 + 1 = 4
4 + 3x + 2x = 2(2x + 2) + z

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

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

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

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

Reorder the terms:
5x = 4 + -4 + 4x + z

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

Solving
5x = 4x + z

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.
5x + -4x = 4x + -4x + z

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

Combine like terms: 4x + -4x = 0
1x = 0 + z
1x = z

Divide each side by '1'.
x = z

Simplifying
x = z

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