Solve 5(x+8)=6(2x-7)

$$5 ( x + 8 ) = 6 ( 2 x - 7 )$$

Solve for x

$$x = \frac{82}{7} = 11\frac{5}{7} \approx 11.714285714$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+8.

$$5x+40=6\left(2x-7\right)$$

Use the distributive property to multiply 6 by 2x-7.

$$5x+40=12x-42$$

Subtract 12x from both sides.

$$5x+40-12x=-42$$

Combine 5x and -12x to get -7x.

$$-7x+40=-42$$

Subtract 40 from both sides.

$$-7x=-42-40$$

Subtract 40 from -42 to get -82.

$$-7x=-82$$

Divide both sides by -7.

$$x=\frac{-82}{-7}$$

Fraction \frac{-82}{-7} can be simplified to \frac{82}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{82}{7}$$