6.5x=15+5(x-2)

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Solution for 6.5x=15+5(x-2) equation:


Simplifying
6.5x = 15 + 5(x + -2)

Reorder the terms:
6.5x = 15 + 5(-2 + x)
6.5x = 15 + (-2 * 5 + x * 5)
6.5x = 15 + (-10 + 5x)

Combine like terms: 15 + -10 = 5
6.5x = 5 + 5x

Solving
6.5x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6.5x + -5x = 5 + 5x + -5x

Combine like terms: 6.5x + -5x = 1.5x
1.5x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
1.5x = 5 + 0
1.5x = 5

Divide each side by '1.5'.
x = 3.333333333

Simplifying
x = 3.333333333

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