Solve 5.2(w-1)+4=4(w+1)

$$5.2 ( w - 1 ) + 4 = 4 ( w + 1 )$$

Solve for w

$$w = \frac{13}{3} = 4\frac{1}{3} \approx 4.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5.2 by w-1.

$$5.2w-5.2+4=4\left(w+1\right)$$

Add -5.2 and 4 to get -1.2.

$$5.2w-1.2=4\left(w+1\right)$$

Use the distributive property to multiply 4 by w+1.

$$5.2w-1.2=4w+4$$

Subtract 4w from both sides.

$$5.2w-1.2-4w=4$$

Combine 5.2w and -4w to get 1.2w.

$$1.2w-1.2=4$$

Add 1.2 to both sides.

$$1.2w=4+1.2$$

Add 4 and 1.2 to get 5.2.

$$1.2w=5.2$$

Divide both sides by 1.2.

$$w=\frac{5.2}{1.2}$$

Expand \frac{5.2}{1.2} by multiplying both numerator and the denominator by 10.

$$w=\frac{52}{12}$$

Reduce the fraction \frac{52}{12} to lowest terms by extracting and canceling out 4.

$$w=\frac{13}{3}$$