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

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


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

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

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

Remove parenthesis around (2 + x)
6 + 3x = x + 2 + x + (3x + -1)

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

Remove parenthesis around (-1 + 3x)
6 + 3x = x + 2 + x + -1 + 3x

Reorder the terms:
6 + 3x = 2 + -1 + x + x + 3x

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

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

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

Solving
6 + 3x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 3x + -5x = 1 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
6 + -2x = 1 + 0
6 + -2x = 1

Add '-6' to each side of the equation.
6 + -6 + -2x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 1 + -6
-2x = 1 + -6

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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