Solve 2(4x+8)+3(2+8)=1

$$2 ( 4 x + 8 ) + 3 ( 2 + 8 ) = 1$$

Solve for x

$$x = -\frac{45}{8} = -5\frac{5}{8} = -5.625$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 4x+8.

$$8x+16+3\left(2+8\right)=1$$

Add 2 and 8 to get 10.

$$8x+16+3\times 10=1$$

Multiply 3 and 10 to get 30.

$$8x+16+30=1$$

Add 16 and 30 to get 46.

$$8x+46=1$$

Subtract 46 from both sides.

$$8x=1-46$$

Subtract 46 from 1 to get -45.

$$8x=-45$$

Divide both sides by 8.

$$x=\frac{-45}{8}$$

Fraction \frac{-45}{8} can be rewritten as -\frac{45}{8} by extracting the negative sign.

$$x=-\frac{45}{8}$$