Solve -4(3-4x)-2(x-7)=9

$$- 4 ( 3 - 4 x ) - 2 ( x - 7 ) = 9$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 3-4x.

$$-12+16x-2\left(x-7\right)=9$$

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

$$-12+16x-2x+14=9$$

Combine 16x and -2x to get 14x.

$$-12+14x+14=9$$

Add -12 and 14 to get 2.

$$2+14x=9$$

Subtract 2 from both sides.

$$14x=9-2$$

Subtract 2 from 9 to get 7.

$$14x=7$$

Divide both sides by 14.

$$x=\frac{7}{14}$$

Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.

$$x=\frac{1}{2}$$