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24 votes
24 votes
Solve the equation below.
3/2x - 2.2 = 2(0.7x - 1)

User Shreyansh
by
2.8k points

2 Answers

17 votes
17 votes
3/2x-2.2=2(0.7x-1) convert the decimal into a fraction.
3/2x - 11/5 = 2(0.7 x - 1) distribute 2 through the parentheses.
3/2 x - 11/5 = 1.4 x - 2 convert the decimal into a fraction.
3/2 x - 11/5 = 7/5 x - 2 multiply both sides of the equation by 10.
15x - 22 = 14 x - 20 move the variable to the left-hand side and change its sign.
15x - 22 - 14 x = -20 move the constant to the right-hand side and change its sign.
15 x - 14x = -20 + 22 collect like terms.
x = -20 + 22 calculate the sum.
x = 2 solution.
User Anupam
by
2.4k points
18 votes
18 votes

Answer:

x = 2

Explanation:

3/2x - 2.2 = 2(0.7x - 1)

3/2x - 2.2 = 1.4x - 2

0.1x - 2.2 = -2

0.1x = 0.2

x = 2

User Brian Reischl
by
3.1k points