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

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


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

Reorder the terms:
3(3 + x) = 3x + -5(x + 1)
(3 * 3 + x * 3) = 3x + -5(x + 1)
(9 + 3x) = 3x + -5(x + 1)

Reorder the terms:
9 + 3x = 3x + -5(1 + x)
9 + 3x = 3x + (1 * -5 + x * -5)
9 + 3x = 3x + (-5 + -5x)

Reorder the terms:
9 + 3x = -5 + 3x + -5x

Combine like terms: 3x + -5x = -2x
9 + 3x = -5 + -2x

Solving
9 + 3x = -5 + -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.
9 + 3x + 2x = -5 + -2x + 2x

Combine like terms: 3x + 2x = 5x
9 + 5x = -5 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 5x = -5 + 0
9 + 5x = -5

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

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

Combine like terms: -5 + -9 = -14
5x = -14

Divide each side by '5'.
x = -2.8

Simplifying
x = -2.8

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