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

$$8 \quad ( 2 ) 3 ( 2 x + 5 ) = 2 ( 4 x + 3 ) - 3$$

Solve for x

$$x = -\frac{237}{88} = -2\frac{61}{88} \approx -2.693181818$$

Steps for Solving Linear Equation

Multiply 8 and 2 to get 16.

$$16\times 3\left(2x+5\right)=2\left(4x+3\right)-3$$

Multiply 16 and 3 to get 48.

$$48\left(2x+5\right)=2\left(4x+3\right)-3$$

Use the distributive property to multiply 48 by 2x+5.

$$96x+240=2\left(4x+3\right)-3$$

Use the distributive property to multiply 2 by 4x+3.

$$96x+240=8x+6-3$$

Subtract 3 from 6 to get 3.

$$96x+240=8x+3$$

Subtract 8x from both sides.

$$96x+240-8x=3$$

Combine 96x and -8x to get 88x.

$$88x+240=3$$

Subtract 240 from both sides.

$$88x=3-240$$

Subtract 240 from 3 to get -237.

$$88x=-237$$

Divide both sides by 88.

$$x=\frac{-237}{88}$$

Fraction \frac{-237}{88} can be rewritten as -\frac{237}{88} by extracting the negative sign.

$$x=-\frac{237}{88}$$