Solve -2(3W+6)-(4W-3)=21 | 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

$$-2(3W+6)-(4W-3)=21$$

Solve for W

$W=-3$

Steps for Solving Linear Equation

Use the distributive property to multiply $-2$ by $3W+6$.

$$-6W-12-\left(4W-3\right)=21$$

To find the opposite of $4W-3$, find the opposite of each term.

$$-6W-12-4W-\left(-3\right)=21$$

The opposite of $-3$ is $3$.

$$-6W-12-4W+3=21$$

Combine $-6W$ and $-4W$ to get $-10W$.

$$-10W-12+3=21$$

Add $-12$ and $3$ to get $-9$.

$$-10W-9=21$$

Add $9$ to both sides.

$$-10W=21+9$$

Add $21$ and $9$ to get $30$.

$$-10W=30$$

Divide both sides by $-10$.

$$W=\frac{30}{-10}$$

Divide $30$ by $-10$ to get $-3$.

$$W=-3$$