7x=.5(x+78)

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Solution for 7x=.5(x+78) equation:


Simplifying
7x = 0.5(x + 78)

Reorder the terms:
7x = 0.5(78 + x)
7x = (78 * 0.5 + x * 0.5)
7x = (39 + 0.5x)

Solving
7x = 39 + 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.
7x + -0.5x = 39 + 0.5x + -0.5x

Combine like terms: 7x + -0.5x = 6.5x
6.5x = 39 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
6.5x = 39 + 0.0
6.5x = 39

Divide each side by '6.5'.
x = 6

Simplifying
x = 6

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