3(x+1)=5-3(x-2)

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Solution for 3(x+1)=5-3(x-2) equation:


Simplifying
3(x + 1) = 5 + -3(x + -2)

Reorder the terms:
3(1 + x) = 5 + -3(x + -2)
(1 * 3 + x * 3) = 5 + -3(x + -2)
(3 + 3x) = 5 + -3(x + -2)

Reorder the terms:
3 + 3x = 5 + -3(-2 + x)
3 + 3x = 5 + (-2 * -3 + x * -3)
3 + 3x = 5 + (6 + -3x)

Combine like terms: 5 + 6 = 11
3 + 3x = 11 + -3x

Solving
3 + 3x = 11 + -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 = 11 + -3x + 3x

Combine like terms: 3x + 3x = 6x
3 + 6x = 11 + -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 6x = 11 + 0
3 + 6x = 11

Add '-3' to each side of the equation.
3 + -3 + 6x = 11 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = 11 + -3
6x = 11 + -3

Combine like terms: 11 + -3 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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