Solve x 7-8x/3 = 17/6-5x/8

Evaluate

x \times 7 - (8 \times \frac{x}{3}) = \frac{17}{6} - (5 \times \frac{x}{8})

Simplify

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7 x - \frac{8 x}{3} = \frac{17}{6} - (5 \times \frac{x}{8})

Multiply the terms

7 x - \frac{8 x}{3} = \frac{17}{6} - \frac{5 x}{8}

Multiply both sides of the equation by LCD

(7 x - \frac{8 x}{3}) \times 24 = (\frac{17}{6} - \frac{5 x}{8}) \times 24

Simplify the equation

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104 x = (\frac{17}{6} - \frac{5 x}{8}) \times 24

Simplify the equation

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104 x = 68 - 15 x

Move the variable to the left side

104 x + 15 x = 68

Add the terms

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119 x = 68

Divide both sides

\frac{119 x}{119} = \frac{68}{119}

Divide the numbers

x = \frac{68}{119}

Solution

x = \frac{4}{7}

Alternative Form

x = 0. \dot{5} 7142 \dot{8}

Solve the equation