Solve -3(w-2)=2(w-6)+7

$$- 3 ( w - 2 ) = 2 ( w - 6 ) + 7$$

Solve for w

$$w = \frac{11}{5} = 2\frac{1}{5} = 2.2$$

Steps for Solving Linear Equation

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

$$-3w+6=2\left(w-6\right)+7$$

Use the distributive property to multiply 2 by w-6.

$$-3w+6=2w-12+7$$

Add -12 and 7 to get -5.

$$-3w+6=2w-5$$

Subtract 2w from both sides.

$$-3w+6-2w=-5$$

Combine -3w and -2w to get -5w.

$$-5w+6=-5$$

Subtract 6 from both sides.

$$-5w=-5-6$$

Subtract 6 from -5 to get -11.

$$-5w=-11$$

Divide both sides by -5.

$$w=\frac{-11}{-5}$$

Fraction \frac{-11}{-5} can be simplified to \frac{11}{5} by removing the negative sign from both the numerator and the denominator.

$$w=\frac{11}{5}$$