6.5(x-5)=2(0.75-x)

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Solution for 6.5(x-5)=2(0.75-x) equation: 


Simplifying
6.5(x + -5) = 2(0.75 + -1x)

Reorder the terms:
6.5(-5 + x) = 2(0.75 + -1x)
(-5 * 6.5 + x * 6.5) = 2(0.75 + -1x)
(-32.5 + 6.5x) = 2(0.75 + -1x)
-32.5 + 6.5x = (0.75 * 2 + -1x * 2)
-32.5 + 6.5x = (1.5 + -2x)

Solving
-32.5 + 6.5x = 1.5 + -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.
-32.5 + 6.5x + 2x = 1.5 + -2x + 2x

Combine like terms: 6.5x + 2x = 8.5x
-32.5 + 8.5x = 1.5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-32.5 + 8.5x = 1.5 + 0
-32.5 + 8.5x = 1.5

Add '32.5' to each side of the equation.
-32.5 + 32.5 + 8.5x = 1.5 + 32.5

Combine like terms: -32.5 + 32.5 = 0.0
0.0 + 8.5x = 1.5 + 32.5
8.5x = 1.5 + 32.5

Combine like terms: 1.5 + 32.5 = 34
8.5x = 34

Divide each side by '8.5'.
x = 4

Simplifying
x = 4

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