Solve 5(-x+2)/4=3(x+8)

$$\frac { 5 ( - x + 2 ) } { 4 } = 3 ( x + 8 )$$

Solve for x

$$x = -\frac{86}{17} = -5\frac{1}{17} \approx -5.058823529$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$5\left(-x+2\right)=12\left(x+8\right)$$

Use the distributive property to multiply 5 by -x+2.

$$5\left(-x\right)+10=12\left(x+8\right)$$

Use the distributive property to multiply 12 by x+8.

$$5\left(-x\right)+10=12x+96$$

Subtract 12x from both sides.

$$5\left(-x\right)+10-12x=96$$

Subtract 10 from both sides.

$$5\left(-x\right)-12x=96-10$$

Subtract 10 from 96 to get 86.

$$5\left(-x\right)-12x=86$$

Multiply 5 and -1 to get -5.

$$-5x-12x=86$$

Combine -5x and -12x to get -17x.

$$-17x=86$$

Divide both sides by -17.

$$x=\frac{86}{-17}$$

Fraction \frac{86}{-17} can be rewritten as -\frac{86}{17} by extracting the negative sign.

$$x=-\frac{86}{17}$$