What is the answer to 1/2 (x+3)+5/7 = 2/3 (2x-1)+4 ?

The answer to 1/2 (x+3)+5/7 = 2/3 (2x-1)+4 is x=-47/35

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1/2 (x+3)+5/7 = 2/3 (2x-1)+4

\frac{1}{2} (x + 3) + \frac{5}{7} = \frac{2}{3} (2 x - 1) + 4

x = - \frac{47}{35}

Decimal Notation

x = - 1.34285 \dots

Solution steps

\frac{1}{2} (x + 3) + \frac{5}{7} = \frac{2}{3} (2 x - 1) + 4

Expand

\frac{1}{2} (x + 3) + \frac{5}{7} : \frac{31}{14} + \frac{1}{2} x

Expand

\frac{2}{3} (2 x - 1) + 4 : \frac{10}{3} + \frac{4}{3} x

\frac{31}{14} + \frac{1}{2} x = \frac{10}{3} + \frac{4}{3} x

Move

\frac{31}{14}

to the right side

\frac{1}{2} x = \frac{47}{42} + \frac{4}{3} x

Move

\frac{4}{3} x

to the left side

- \frac{5}{6} x = \frac{47}{42}

Multiply both sides by

6

- 5 x = \frac{47}{7}

Divide both sides by

- 5

x = - \frac{47}{35}

5 = \frac{3}{5} x - 4

\frac{0.268 + x + 0.213 + 0.176 + 0.325}{5} = 0.246

x, 5 x + 2 y - z = - 7

a, 30 a - 10 b = 604

(7 x - 3) + (1 - 2 x) = 4 - 3 x

What is the answer to 1/2 (x+3)+5/7 = 2/3 (2x-1)+4 ?
The answer to 1/2 (x+3)+5/7 = 2/3 (2x-1)+4 is x=-47/35
Solve for x: 1/2 (x+3)+5/7 = 2/3 (2x-1)+4
The solution is x=-47/35