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murzikaleks [220]
3 years ago
5

Solve the equation 1/3 (x + 1) +2x =2

Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

            Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's solve your equation step-by-step.

\frac{1}{3} (x+1)+2x=2

Step 1: Simplify both sides of the equation.

\frac{1}{3} (x+1)+2x=2

(\frac{1}{3}) (x) + (\frac{1}{3} ) (1) + 2x = 2 (Distribute)

\frac{1}{3} x  + \frac{1}{3} + 2x = 2

( \frac{1}{3} x + 2x ) + (\frac{1}{3}) = 2 (Combine Like Terms)

\frac {7}{3} x + \frac{1}{3} = 2\\\frac{7}{3} x + \frac{1}{3} = 2

Step 2: Subtract 1/3 from both sides.

\frac{7}{3} x + \frac{1}{3} - \frac{1}{3} = 2 - \frac{1}{3} \\\\\frac{7}{3} x = \frac{5}{3}

Step 3: Multiply both sides by 3/7.

( \frac{3}{7} ) * (\frac{7}{3}x) = ( \frac{3}{7}) * \frac{5}{3}   \\\\x = \frac{5}{7}

So the answer is : x = \frac{5}{7}

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

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