3(x+1)=-3(x-4)+5

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Solution for 3(x+1)=-3(x-4)+5 equation: 


Simplifying
3(x + 1) = -3(x + -4) + 5

Reorder the terms:
3(1 + x) = -3(x + -4) + 5
(1 * 3 + x * 3) = -3(x + -4) + 5
(3 + 3x) = -3(x + -4) + 5

Reorder the terms:
3 + 3x = -3(-4 + x) + 5
3 + 3x = (-4 * -3 + x * -3) + 5
3 + 3x = (12 + -3x) + 5

Reorder the terms:
3 + 3x = 12 + 5 + -3x

Combine like terms: 12 + 5 = 17
3 + 3x = 17 + -3x

Solving
3 + 3x = 17 + -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.
3 + 3x + 3x = 17 + -3x + 3x

Combine like terms: 3x + 3x = 6x
3 + 6x = 17 + -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 6x = 17 + 0
3 + 6x = 17

Add '-3' to each side of the equation.
3 + -3 + 6x = 17 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = 17 + -3
6x = 17 + -3

Combine like terms: 17 + -3 = 14
6x = 14

Divide each side by '6'.
x = 2.333333333

Simplifying
x = 2.333333333

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