Question

x/2 + 5/9 = 2x/3
What is the answer?
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Answer 1

Answer:

Solve

1

Subtract

5

9

\frac{5}{9}

95

from both sides of the equation

2

+

5

9

=

2

3

\frac{x}{2}+\frac{5}{9}=\frac{2x}{3}

2x+95=32x

2

+

5

9

−

5

9

=

2

3

−

5

9

\frac{x}{2}+\frac{5}{9}{\color{#c92786}{-\frac{5}{9}}}=\frac{2x}{3}{\color{#c92786}{-\frac{5}{9}}}

2x+95−95=32x−95

2

Simplify

3

Multiply all terms by the same value to eliminate fraction denominators

4

Simplify

5

Subtract

4

4x

4x

from both sides of the equation

6

Simplify

7

Divide both sides of the equation by the same term

8

Simplify

Solution

=

1

0

Answer 2

Answer:

$x \div 2 \: + 5 \div 9 = 2x \div 3 \\ (9x + 10) \div 18 = 2x \div 3 \\ = 9x + 10 \div 6 = 2x \\ = 9x + 10 = 12x \\ = 10 = 4x \\ therefore \: {x} = 10 \div 4$