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

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


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

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

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

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

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

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

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

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

Solving
-2 + 2x = 3 + 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.
-2 + 2x + -3x = 3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-2 + -1x = 3 + 0
-2 + -1x = 3

Add '2' to each side of the equation.
-2 + 2 + -1x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 3 + 2
-1x = 3 + 2

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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