Solve 5+3(3w-2)=-4(2w-1)+2w

$$5 + 3 ( 3 w - 2 ) = - 4 ( 2 w - 1 ) + 2 w$$

Solve for w

$$w=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 3w-2.

$$5+9w-6=-4\left(2w-1\right)+2w$$

Subtract 6 from 5 to get -1.

$$-1+9w=-4\left(2w-1\right)+2w$$

Use the distributive property to multiply -4 by 2w-1.

$$-1+9w=-8w+4+2w$$

Combine -8w and 2w to get -6w.

$$-1+9w=-6w+4$$

Add 6w to both sides.

$$-1+9w+6w=4$$

Combine 9w and 6w to get 15w.

$$-1+15w=4$$

Add 1 to both sides.

$$15w=4+1$$

Add 4 and 1 to get 5.

$$15w=5$$

Divide both sides by 15.

$$w=\frac{5}{15}$$

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

$$w=\frac{1}{3}$$