3(x+1)-8=14-2(3x)-2(-4)

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Solution for 3(x+1)-8=14-2(3x)-2(-4) equation:


Simplifying
3(x + 1) + -8 = 14 + -2(3x) + -2(-4)

Reorder the terms:
3(1 + x) + -8 = 14 + -2(3x) + -2(-4)
(1 * 3 + x * 3) + -8 = 14 + -2(3x) + -2(-4)
(3 + 3x) + -8 = 14 + -2(3x) + -2(-4)

Reorder the terms:
3 + -8 + 3x = 14 + -2(3x) + -2(-4)

Combine like terms: 3 + -8 = -5
-5 + 3x = 14 + -2(3x) + -2(-4)

Remove parenthesis around (3x)
-5 + 3x = 14 + -2 * 3x + -2(-4)

Multiply -2 * 3
-5 + 3x = 14 + -6x + -2(-4)

Multiply -2 * -4
-5 + 3x = 14 + -6x + 8

Reorder the terms:
-5 + 3x = 14 + 8 + -6x

Combine like terms: 14 + 8 = 22
-5 + 3x = 22 + -6x

Solving
-5 + 3x = 22 + -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.
-5 + 3x + 6x = 22 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-5 + 9x = 22 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + 9x = 22 + 0
-5 + 9x = 22

Add '5' to each side of the equation.
-5 + 5 + 9x = 22 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 22 + 5
9x = 22 + 5

Combine like terms: 22 + 5 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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