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

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


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

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

Combine like terms: 3x + 2x = 5x
6 + 5x = 2(3x + 1) + 1

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

Reorder the terms:
6 + 5x = 2 + 1 + 6x

Combine like terms: 2 + 1 = 3
6 + 5x = 3 + 6x

Solving
6 + 5x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 5x + -6x = 3 + 6x + -6x

Combine like terms: 5x + -6x = -1x
6 + -1x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -1x = 3 + 0
6 + -1x = 3

Add '-6' to each side of the equation.
6 + -6 + -1x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 3 + -6
-1x = 3 + -6

Combine like terms: 3 + -6 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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