Solve 8(6 + 4x) + 24 = - 16 + 2(x + 7) | Equatix - Math Solver

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Example

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

a⋅(b-2)=3b

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

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Question

$$8(6+4x)+24=-16+2(x+7)$$

Solve for x

$x = -\frac{37}{15} = -2\frac{7}{15} \approx -2.466666667$

Steps for Solving Linear Equation

Use the distributive property to multiply $8$ by $6+4x$.

$$48+32x+24=-16+2\left(x+7\right)$$

Add $48$ and $24$ to get $72$.

$$72+32x=-16+2\left(x+7\right)$$

Use the distributive property to multiply $2$ by $x+7$.

$$72+32x=-16+2x+14$$

Add $-16$ and $14$ to get $-2$.

$$72+32x=-2+2x$$

Subtract $2x$ from both sides.

$$72+32x-2x=-2$$

Combine $32x$ and $-2x$ to get $30x$.

$$72+30x=-2$$

Subtract $72$ from both sides.

$$30x=-2-72$$

Subtract $72$ from $-2$ to get $-74$.

$$30x=-74$$

Divide both sides by $30$.

$$x=\frac{-74}{30}$$

Reduce the fraction $\frac{-74}{30}$ to lowest terms by extracting and canceling out $2$.

$$x=-\frac{37}{15}$$