What is the answer to 30= 1/2 (105-x) ?

The answer to 30= 1/2 (105-x) is x=45

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30= 1/2 (105-x)

30 = \frac{1}{2} (105 - x)

x = 45

Solution steps

30 = \frac{1}{2} (105 - x)

Switch sides

\frac{1}{2} (105 - x) = 30

Multiply both sides by

2

105 - x = 60

Move

105

to the right side

- x = - 45

Divide both sides by

- 1

x = 45

\frac{x}{2} = x + 1

- 3 (- \frac{9}{4} - 2) = 6 x - 3 + x

3 (2 - x) = 2 x - 1

\frac{2 x}{3} - x = 2

\frac{x - 1}{6} - \frac{x - 3}{2} = 1