Solve 2(5x-4)-4(7x+8)=12

$$2(5x-4)-4(7x+8)=12$$

Solve for x

$$x = -\frac{26}{9} = -2\frac{8}{9} \approx -2.888888889$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 5x-4.

$$10x-8-4\left(7x+8\right)=12$$

Use the distributive property to multiply -4 by 7x+8.

$$10x-8-28x-32=12$$

Combine 10x and -28x to get -18x.

$$-18x-8-32=12$$

Subtract 32 from -8 to get -40.

$$-18x-40=12$$

Add 40 to both sides.

$$-18x=12+40$$

Add 12 and 40 to get 52.

$$-18x=52$$

Divide both sides by -18.

$$x=\frac{52}{-18}$$

Reduce the fraction \frac{52}{-18} to lowest terms by extracting and canceling out 2.

$$x=-\frac{26}{9}$$