3(x+1)-(x-9)+(x+3)=(x+4)+(x+2)

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Solution for 3(x+1)-(x-9)+(x+3)=(x+4)+(x+2) equation:


Simplifying
3(x + 1) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2)

Reorder the terms:
3(1 + x) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2)
(1 * 3 + x * 3) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2)
(3 + 3x) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2)

Reorder the terms:
3 + 3x + -1(-9 + x) + (x + 3) = (x + 4) + (x + 2)
3 + 3x + (-9 * -1 + x * -1) + (x + 3) = (x + 4) + (x + 2)
3 + 3x + (9 + -1x) + (x + 3) = (x + 4) + (x + 2)

Reorder the terms:
3 + 3x + 9 + -1x + (3 + x) = (x + 4) + (x + 2)

Remove parenthesis around (3 + x)
3 + 3x + 9 + -1x + 3 + x = (x + 4) + (x + 2)

Reorder the terms:
3 + 9 + 3 + 3x + -1x + x = (x + 4) + (x + 2)

Combine like terms: 3 + 9 = 12
12 + 3 + 3x + -1x + x = (x + 4) + (x + 2)

Combine like terms: 12 + 3 = 15
15 + 3x + -1x + x = (x + 4) + (x + 2)

Combine like terms: 3x + -1x = 2x
15 + 2x + x = (x + 4) + (x + 2)

Combine like terms: 2x + x = 3x
15 + 3x = (x + 4) + (x + 2)

Reorder the terms:
15 + 3x = (4 + x) + (x + 2)

Remove parenthesis around (4 + x)
15 + 3x = 4 + x + (x + 2)

Reorder the terms:
15 + 3x = 4 + x + (2 + x)

Remove parenthesis around (2 + x)
15 + 3x = 4 + x + 2 + x

Reorder the terms:
15 + 3x = 4 + 2 + x + x

Combine like terms: 4 + 2 = 6
15 + 3x = 6 + x + x

Combine like terms: x + x = 2x
15 + 3x = 6 + 2x

Solving
15 + 3x = 6 + 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.
15 + 3x + -2x = 6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
15 + 1x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 1x = 6 + 0
15 + 1x = 6

Add '-15' to each side of the equation.
15 + -15 + 1x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 6 + -15
1x = 6 + -15

Combine like terms: 6 + -15 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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