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

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


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

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

Reorder the terms:
9 + 3x = 5(2 + x)
9 + 3x = (2 * 5 + x * 5)
9 + 3x = (10 + 5x)

Solving
9 + 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.
9 + 3x + -5x = 10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
9 + -2x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -2x = 10 + 0
9 + -2x = 10

Add '-9' to each side of the equation.
9 + -9 + -2x = 10 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 10 + -9
-2x = 10 + -9

Combine like terms: 10 + -9 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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