6.5x=8.5(4x-10)

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Solution for 6.5x=8.5(4x-10) equation:


Simplifying
6.5x = 8.5(4x + -10)

Reorder the terms:
6.5x = 8.5(-10 + 4x)
6.5x = (-10 * 8.5 + 4x * 8.5)
6.5x = (-85 + 34x)

Solving
6.5x = -85 + 34x

Solving for variable 'x'.

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

Add '-34x' to each side of the equation.
6.5x + -34x = -85 + 34x + -34x

Combine like terms: 6.5x + -34x = -27.5x
-27.5x = -85 + 34x + -34x

Combine like terms: 34x + -34x = 0
-27.5x = -85 + 0
-27.5x = -85

Divide each side by '-27.5'.
x = 3.090909091

Simplifying
x = 3.090909091

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