Solve 9+2(4w-7)=-3(4w-3)+8w

$$9 + 2 ( 4 w - 7 ) = - 3 ( 4 w - 3 ) + 8 w$$

Solve for w

$$w = \frac{7}{6} = 1\frac{1}{6} \approx 1.166666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 4w-7.

$$9+8w-14=-3\left(4w-3\right)+8w$$

Subtract 14 from 9 to get -5.

$$-5+8w=-3\left(4w-3\right)+8w$$

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

$$-5+8w=-12w+9+8w$$

Combine -12w and 8w to get -4w.

$$-5+8w=-4w+9$$

Add 4w to both sides.

$$-5+8w+4w=9$$

Combine 8w and 4w to get 12w.

$$-5+12w=9$$

Add 5 to both sides.

$$12w=9+5$$

Add 9 and 5 to get 14.

$$12w=14$$

Divide both sides by 12.

$$w=\frac{14}{12}$$

Reduce the fraction \frac{14}{12} to lowest terms by extracting and canceling out 2.

$$w=\frac{7}{6}$$