6.5(x-3)=2.4(3-x)

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Solution for 6.5(x-3)=2.4(3-x) equation:


Simplifying
6.5(x + -3) = 2.4(3 + -1x)

Reorder the terms:
6.5(-3 + x) = 2.4(3 + -1x)
(-3 * 6.5 + x * 6.5) = 2.4(3 + -1x)
(-19.5 + 6.5x) = 2.4(3 + -1x)
-19.5 + 6.5x = (3 * 2.4 + -1x * 2.4)
-19.5 + 6.5x = (7.2 + -2.4x)

Solving
-19.5 + 6.5x = 7.2 + -2.4x

Solving for variable 'x'.

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

Add '2.4x' to each side of the equation.
-19.5 + 6.5x + 2.4x = 7.2 + -2.4x + 2.4x

Combine like terms: 6.5x + 2.4x = 8.9x
-19.5 + 8.9x = 7.2 + -2.4x + 2.4x

Combine like terms: -2.4x + 2.4x = 0.0
-19.5 + 8.9x = 7.2 + 0.0
-19.5 + 8.9x = 7.2

Add '19.5' to each side of the equation.
-19.5 + 19.5 + 8.9x = 7.2 + 19.5

Combine like terms: -19.5 + 19.5 = 0.0
0.0 + 8.9x = 7.2 + 19.5
8.9x = 7.2 + 19.5

Combine like terms: 7.2 + 19.5 = 26.7
8.9x = 26.7

Divide each side by '8.9'.
x = 3

Simplifying
x = 3

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