6.5(x-3)=-0.5x+22.5

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Solution for 6.5(x-3)=-0.5x+22.5 equation: 


Simplifying
6.5(x + -3) = -0.5x + 22.5

Reorder the terms:
6.5(-3 + x) = -0.5x + 22.5
(-3 * 6.5 + x * 6.5) = -0.5x + 22.5
(-19.5 + 6.5x) = -0.5x + 22.5

Reorder the terms:
-19.5 + 6.5x = 22.5 + -0.5x

Solving
-19.5 + 6.5x = 22.5 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
-19.5 + 6.5x + 0.5x = 22.5 + -0.5x + 0.5x

Combine like terms: 6.5x + 0.5x = 7x
-19.5 + 7x = 22.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-19.5 + 7x = 22.5 + 0.0
-19.5 + 7x = 22.5

Add '19.5' to each side of the equation.
-19.5 + 19.5 + 7x = 22.5 + 19.5

Combine like terms: -19.5 + 19.5 = 0.0
0.0 + 7x = 22.5 + 19.5
7x = 22.5 + 19.5

Combine like terms: 22.5 + 19.5 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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