3(x+1)-16=2(3-x)+2(1-x)

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Solution for 3(x+1)-16=2(3-x)+2(1-x) equation:


Simplifying
3(x + 1) + -16 = 2(3 + -1x) + 2(1 + -1x)

Reorder the terms:
3(1 + x) + -16 = 2(3 + -1x) + 2(1 + -1x)
(1 * 3 + x * 3) + -16 = 2(3 + -1x) + 2(1 + -1x)
(3 + 3x) + -16 = 2(3 + -1x) + 2(1 + -1x)

Reorder the terms:
3 + -16 + 3x = 2(3 + -1x) + 2(1 + -1x)

Combine like terms: 3 + -16 = -13
-13 + 3x = 2(3 + -1x) + 2(1 + -1x)
-13 + 3x = (3 * 2 + -1x * 2) + 2(1 + -1x)
-13 + 3x = (6 + -2x) + 2(1 + -1x)
-13 + 3x = 6 + -2x + (1 * 2 + -1x * 2)
-13 + 3x = 6 + -2x + (2 + -2x)

Reorder the terms:
-13 + 3x = 6 + 2 + -2x + -2x

Combine like terms: 6 + 2 = 8
-13 + 3x = 8 + -2x + -2x

Combine like terms: -2x + -2x = -4x
-13 + 3x = 8 + -4x

Solving
-13 + 3x = 8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-13 + 3x + 4x = 8 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-13 + 7x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
-13 + 7x = 8 + 0
-13 + 7x = 8

Add '13' to each side of the equation.
-13 + 13 + 7x = 8 + 13

Combine like terms: -13 + 13 = 0
0 + 7x = 8 + 13
7x = 8 + 13

Combine like terms: 8 + 13 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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