Solve -6(x+11)=30+6(x+2) | 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

$$-6(x+11)=30+6(x+2)$$

Solve for x

$x=-9$

Steps for Solving Linear Equation

Use the distributive property to multiply $-6$ by $x+11$.

$$-6x-66=30+6\left(x+2\right)$$

Use the distributive property to multiply $6$ by $x+2$.

$$-6x-66=30+6x+12$$

Add $30$ and $12$ to get $42$.

$$-6x-66=42+6x$$

Subtract $6x$ from both sides.

$$-6x-66-6x=42$$

Combine $-6x$ and $-6x$ to get $-12x$.

$$-12x-66=42$$

Add $66$ to both sides.

$$-12x=42+66$$

Add $42$ and $66$ to get $108$.

$$-12x=108$$

Divide both sides by $-12$.

$$x=\frac{108}{-12}$$

Divide $108$ by $-12$ to get $-9$.

$$x=-9$$