Solve 2(8x+2)=3(2x-7)

$$2(8x+2)=3(2x-7)$$

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

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

$$16x+4=3\left(2x-7\right)$$

Use the distributive property to multiply 3 by 2x-7.

$$16x+4=6x-21$$

Subtract 6x from both sides.

$$16x+4-6x=-21$$

Combine 16x and -6x to get 10x.

$$10x+4=-21$$

Subtract 4 from both sides.

$$10x=-21-4$$

Subtract 4 from -21 to get -25.

$$10x=-25$$

Divide both sides by 10.

$$x=\frac{-25}{10}$$

Reduce the fraction \frac{-25}{10} to lowest terms by extracting and canceling out 5.

$$x=-\frac{5}{2}$$