Solve -((-2-4z)/(5))-4z=10 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$-( \frac{ -2-4z }{ 5 } )-4z=10$$

Solve for z

$z=-3$

Steps for Solving Linear Equation

Multiply both sides of the equation by $5$.

$$-\left(-2-4z\right)-20z=50$$

To find the opposite of $-2-4z$, find the opposite of each term.

$$-\left(-2\right)-\left(-4z\right)-20z=50$$

The opposite of $-2$ is $2$.

$$2-\left(-4z\right)-20z=50$$

The opposite of $-4z$ is $4z$.

$$2+4z-20z=50$$

Combine $4z$ and $-20z$ to get $-16z$.

$$2-16z=50$$

Subtract $2$ from both sides.

$$-16z=50-2$$

Subtract $2$ from $50$ to get $48$.

$$-16z=48$$

Divide both sides by $-16$.

$$z=\frac{48}{-16}$$

Divide $48$ by $-16$ to get $-3$.

$$z=-3$$