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

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


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

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

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

Reorder the terms:
4 + 5x = 3(2 + x) + 2
4 + 5x = (2 * 3 + x * 3) + 2
4 + 5x = (6 + 3x) + 2

Reorder the terms:
4 + 5x = 6 + 2 + 3x

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

Solving
4 + 5x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 5x + -3x = 8 + 3x + -3x

Combine like terms: 5x + -3x = 2x
4 + 2x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 2x = 8 + 0
4 + 2x = 8

Add '-4' to each side of the equation.
4 + -4 + 2x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 8 + -4
2x = 8 + -4

Combine like terms: 8 + -4 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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