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

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

Solve for x

$$x=11$$

Steps for Solving Linear Equation

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

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

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

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

Add -42 and 5 to get -37.

$$5x+40=12x-37$$

Subtract 12x from both sides.

$$5x+40-12x=-37$$

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

$$-7x+40=-37$$

Subtract 40 from both sides.

$$-7x=-37-40$$

Subtract 40 from -37 to get -77.

$$-7x=-77$$

Divide both sides by -7.

$$x=\frac{-77}{-7}$$

Divide -77 by -7 to get 11.

$$x=11$$