Solve 3(2x-5)/4=37

Evaluate

3 \times \frac{2 x - 5}{4} = 37

Multiply the terms

\frac{3 ( 2 x - 5 )}{4} = 37

Cross multiply

3 (2 x - 5) = 4 \times 37

Simplify the equation

3 (2 x - 5) = 148

Divide both sides

\frac{3 ( 2 x - 5 )}{3} = \frac{148}{3}

Divide the numbers

2 x - 5 = \frac{148}{3}

Move the constant to the right side

2 x = \frac{148}{3} + 5

Add the numbers

More Steps

2 x = \frac{163}{3}

Multiply by the reciprocal

2 x \times \frac{1}{2} = \frac{163}{3} \times \frac{1}{2}

Multiply

x = \frac{163}{3} \times \frac{1}{2}

Solution

More Steps

x = \frac{163}{6}

Alternative Form

x = 27.1 \dot{6}

Solve the equation