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

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


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

Reorder the terms:
3(2 + x) = 5(3 + -1x)
(2 * 3 + x * 3) = 5(3 + -1x)
(6 + 3x) = 5(3 + -1x)
6 + 3x = (3 * 5 + -1x * 5)
6 + 3x = (15 + -5x)

Solving
6 + 3x = 15 + -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.
6 + 3x + 5x = 15 + -5x + 5x

Combine like terms: 3x + 5x = 8x
6 + 8x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 8x = 15 + 0
6 + 8x = 15

Add '-6' to each side of the equation.
6 + -6 + 8x = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 15 + -6
8x = 15 + -6

Combine like terms: 15 + -6 = 9
8x = 9

Divide each side by '8'.
x = 1.125

Simplifying
x = 1.125

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