Solve for z x=(2y+z)/4

$x = \frac{2 y + z}{4}$

Rewrite the equation as $\frac{2 y + z}{4} = x$ .

$\frac{2 y + z}{4} = x$

Multiply both sides by $4$ .

$\frac{2 y + z}{4} \cdot 4 = x \cdot 4$

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{2 y + z}{4} \cdot 4 = x \cdot 4$

Rewrite the expression.

$2 y + z = x \cdot 4$

$2 y + z = x \cdot 4$

$2 y + z = x \cdot 4$

Simplify the right side.

Move $4$ to the left of $x$ .

$2 y + z = 4 x$

$2 y + z = 4 x$

$2 y + z = 4 x$

Subtract $2 y$ from both sides of the equation.

$z = 4 x - 2 y$

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