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

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


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

Reorder the terms:
3(3 + x) + x = 2(x + 1) + 1
(3 * 3 + x * 3) + x = 2(x + 1) + 1
(9 + 3x) + x = 2(x + 1) + 1

Combine like terms: 3x + x = 4x
9 + 4x = 2(x + 1) + 1

Reorder the terms:
9 + 4x = 2(1 + x) + 1
9 + 4x = (1 * 2 + x * 2) + 1
9 + 4x = (2 + 2x) + 1

Reorder the terms:
9 + 4x = 2 + 1 + 2x

Combine like terms: 2 + 1 = 3
9 + 4x = 3 + 2x

Solving
9 + 4x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + 4x + -2x = 3 + 2x + -2x

Combine like terms: 4x + -2x = 2x
9 + 2x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 2x = 3 + 0
9 + 2x = 3

Add '-9' to each side of the equation.
9 + -9 + 2x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 3 + -9
2x = 3 + -9

Combine like terms: 3 + -9 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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