Solve 0.3x-2.1=5-1.7(x-1)

$$0.3 x - 2.1 = 5 - 1.7 ( x - 1 )$$

Solve for x

$$x=4.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply -1.7 by x-1.

$$0.3x-2.1=5-1.7x+1.7$$

Add 5 and 1.7 to get 6.7.

$$0.3x-2.1=6.7-1.7x$$

Add 1.7x to both sides.

$$0.3x-2.1+1.7x=6.7$$

Combine 0.3x and 1.7x to get 2x.

$$2x-2.1=6.7$$

Add 2.1 to both sides.

$$2x=6.7+2.1$$

Add 6.7 and 2.1 to get 8.8.

$$2x=8.8$$

Divide both sides by 2.

$$x=\frac{8.8}{2}$$

Expand \frac{8.8}{2} by multiplying both numerator and the denominator by 10.

$$x=\frac{88}{20}$$

Reduce the fraction \frac{88}{20} to lowest terms by extracting and canceling out 4.

$$x=\frac{22}{5}$$