Solve - 3(x + 2) = y + 4 | 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

$$-3(x+2)=y+4$$

Solve for x

$x=\frac{-y-10}{3}$

Steps for Solving Linear Equation

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

$$-3x-6=y+4$$

Add $6$ to both sides.

$$-3x=y+4+6$$

Add $4$ and $6$ to get $10$.

$$-3x=y+10$$

Divide both sides by $-3$.

$$\frac{-3x}{-3}=\frac{y+10}{-3}$$

Dividing by $-3$ undoes the multiplication by $-3$.

$$x=\frac{y+10}{-3}$$

Divide $y+10$ by $-3$.

$$x=\frac{-y-10}{3}$$

Solve for y

$y=-3x-10$

Solution Steps

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

$$-3x-6=y+4$$

Swap sides so that all variable terms are on the left hand side.

$$y+4=-3x-6$$

Subtract $4$ from both sides.

$$y=-3x-6-4$$

Subtract $4$ from $-6$ to get $-10$.

$$y=-3x-10$$