Solve for a x=(a+b)/2

$x = \frac{a + b}{2}$

Rewrite the equation as $\frac{a + b}{2} = x$ .

$\frac{a + b}{2} = x$

Multiply both sides of the equation by $2$ .

$2 \frac{a + b}{2} = 2 x$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{a + b}{2} = 2 x$

Rewrite the expression.

$a + b = 2 x$

$a + b = 2 x$

$a + b = 2 x$

Subtract $b$ from both sides of the equation.

$a = 2 x - b$

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