Solve 4(x+8)+5=6(x-1)

$$4 ( x + 8 ) + 5 = 6 ( x - 1 )$$

Solve for x

$$x = \frac{43}{2} = 21\frac{1}{2} = 21.5$$

Steps for Solving Linear Equation

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

$$4x+32+5=6\left(x-1\right)$$

Add 32 and 5 to get 37.

$$4x+37=6\left(x-1\right)$$

Use the distributive property to multiply 6 by x-1.

$$4x+37=6x-6$$

Subtract 6x from both sides.

$$4x+37-6x=-6$$

Combine 4x and -6x to get -2x.

$$-2x+37=-6$$

Subtract 37 from both sides.

$$-2x=-6-37$$

Subtract 37 from -6 to get -43.

$$-2x=-43$$

Divide both sides by -2.

$$x=\frac{-43}{-2}$$

Fraction \frac{-43}{-2} can be simplified to \frac{43}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{43}{2}$$