75.1k views
0 votes
Solve for x, round your answer to the nerest thousandth.

1.657 - 2.397 (5.968x - 0.27) = 4.193x - 3

User Leo Jiang
by
3.3k points

1 Answer

2 votes

Answer: 0.286

Explanation:

1.657−2.397(5.968x−0.27)=4.193x−3

Use the distributive property to multiply −2.397 by 5.968x−0.27.

1.657−14.305296x+0.64719=4.193x−3

Add 1.657 and 0.64719 to get 2.30419.

2.30419−14.305296x=4.193x−3

Subtract 4.193x from both sides.

2.30419−14.305296x−4.193x=−3

Combine −14.305296x and −4.193x to get −18.498296x.

2.30419−18.498296x=−3

Subtract 2.30419 from both sides.

−18.498296x=−3−2.30419

Subtract 2.30419 from −3 to get −5.30419.

−18.498296x=−5.30419

Divide both sides by −18.498296.

x=

−18.498296

−5.30419

Expand

−18.498296

−5.30419

​by multiplying both the numerator and the denominator by 1000000.

x=

−18498296

−5304190

Reduce the fraction

−18498296

−5304190

to lowest terms by extracting and canceling out −2.

x=

9249148

2652095

and then round

User Gumape
by
3.6k points