Determine: 5 6 x + 2 3 = − 1 6 x − 5 3

Step 1Add 1 6 x to both sides: → 1 6 x + 5 6 x + 2 3 = 1 6 x − 1 6 x − 5 3 → x + 2 3 = − 5 3 Add − 2 3 ro both sides: → x + 2 3 − 2 3 = − 5 3 − 2 3 → x = − 7 3

Step 1Get like terms to one side 5 6 x + 1 6 x = − 5 3 − 2 3 Step 2 6 6 x = − 7 3 Step 3 x = − 7 3

Step 1Add 1 6 x to both sides: → 1 6 x + 5 6 x + 2 3 = 1 6 x − 1 6 x − 5 3 → x + 2 3 = − 5 3 Add − 2 3 ro both sides: → x + 2 3 − 2 3 = − 5 3 − 2 3 → x = − 7 3

Step 1Get like terms to one side 5 6 x + 1 6 x = − 5 3 − 2 3 Step 2 6 6 x = − 7 3 Step 3 x = − 7 3

Explained: "Determine: 5 6 x + 2 3 =..."

High School
Algebra
Pre-Algebra
Fractions

Jaylene Hunter

Answered question

2022-07-25

Determine:

\frac{5}{6} x + \frac{2}{3} = - \frac{1}{6} x - \frac{5}{3}

Answer & Explanation

Trace House

Beginner2022-07-26Added 7 answers

Step 1
Add

\frac{1}{6} x

to both sides:

\to \frac{1}{6} x + \frac{5}{6} x + \frac{2}{3} = \frac{1}{6} x - \frac{1}{6} x - \frac{5}{3}

\to x + \frac{2}{3} = - \frac{5}{3}

Add

- \frac{2}{3}

ro both sides:

\to x + \frac{2}{3} - \frac{2}{3} = - \frac{5}{3} - \frac{2}{3}

\to x = - \frac{7}{3}

Ciara Rose

Beginner2022-07-27Added 4 answers

Step 1
Get like terms to one side

\frac{5}{6} x + \frac{1}{6} x = - \frac{5}{3} - \frac{2}{3}

Step 2

\frac{6}{6} x = - \frac{7}{3}

Step 3

x = - \frac{7}{3}

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