3(x+3)=2(4-x)

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Solution for 3(x+3)=2(4-x) equation:


Simplifying
3(x + 3) = 2(4 + -1x)

Reorder the terms:
3(3 + x) = 2(4 + -1x)
(3 * 3 + x * 3) = 2(4 + -1x)
(9 + 3x) = 2(4 + -1x)
9 + 3x = (4 * 2 + -1x * 2)
9 + 3x = (8 + -2x)

Solving
9 + 3x = 8 + -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 = 8 + -2x + 2x

Combine like terms: 3x + 2x = 5x
9 + 5x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 5x = 8 + 0
9 + 5x = 8

Add '-9' to each side of the equation.
9 + -9 + 5x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 8 + -9
5x = 8 + -9

Combine like terms: 8 + -9 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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