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

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


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

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

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

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + 2x + 3x = 9 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-8 + 5x = 9 + 0
-8 + 5x = 9

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

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

Combine like terms: 9 + 8 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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