Solve x/5*8-20=x/24

Evaluate

\frac{x}{5} \times 8 - 20 = \frac{x}{24}

Multiply the terms

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\frac{8 x}{5} - 20 = \frac{x}{24}

Multiply both sides of the equation by LCD

(\frac{8 x}{5} - 20) \times 120 = \frac{x}{24} \times 120

Simplify the equation

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192 x - 2400 = \frac{x}{24} \times 120

Simplify the equation

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192 x - 2400 = 5 x

Move the variable to the left side

192 x - 2400 - 5 x = 0

Subtract the terms

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187 x - 2400 = 0

Move the constant to the right side

187 x = 0 + 2400

Removing 0 doesn't change the value,so remove it from the expression

187 x = 2400

Divide both sides

\frac{187 x}{187} = \frac{2400}{187}

Solution

x = \frac{2400}{187}

Alternative Form

x \approx 12.834225

Solve the equation