Solve 3/4x+4x=7/8+6x-6

Evaluate

\frac{3}{4} x + 4 x = \frac{7}{8} + 6 x - 6

Add the terms

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\frac{19}{4} x = \frac{7}{8} + 6 x - 6

Subtract the numbers

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\frac{19}{4} x = - \frac{41}{8} + 6 x

Move the variable to the left side

\frac{19}{4} x - 6 x = - \frac{41}{8}

Subtract the terms

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- \frac{5}{4} x = - \frac{41}{8}

Change the signs on both sides of the equation

\frac{5}{4} x = \frac{41}{8}

Multiply by the reciprocal

\frac{5}{4} x \times \frac{4}{5} = \frac{41}{8} \times \frac{4}{5}

Multiply

x = \frac{41}{8} \times \frac{4}{5}

Solution

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x = \frac{41}{10}

Alternative Form

x = 4.1

Solve the equation