3(x+3)-6=5(x+2)

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Solution for 3(x+3)-6=5(x+2) equation: 


Simplifying
3(x + 3) + -6 = 5(x + 2)

Reorder the terms:
3(3 + x) + -6 = 5(x + 2)
(3 * 3 + x * 3) + -6 = 5(x + 2)
(9 + 3x) + -6 = 5(x + 2)

Reorder the terms:
9 + -6 + 3x = 5(x + 2)

Combine like terms: 9 + -6 = 3
3 + 3x = 5(x + 2)

Reorder the terms:
3 + 3x = 5(2 + x)
3 + 3x = (2 * 5 + x * 5)
3 + 3x = (10 + 5x)

Solving
3 + 3x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + 3x + -5x = 10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
3 + -2x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -2x = 10 + 0
3 + -2x = 10

Add '-3' to each side of the equation.
3 + -3 + -2x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 10 + -3
-2x = 10 + -3

Combine like terms: 10 + -3 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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