Solve 32x+27*78-3x/2=500

$$32 x + 27 \times \frac { 78 - 3 x } { 2 } = 500$$

Solve for x

$$x = \frac{1106}{17} = 65\frac{1}{17} \approx 65.058823529$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$64x+27\left(78-3x\right)=1000$$

Use the distributive property to multiply 27 by 78-3x.

$$64x+2106-81x=1000$$

Combine 64x and -81x to get -17x.

$$-17x+2106=1000$$

Subtract 2106 from both sides.

$$-17x=1000-2106$$

Subtract 2106 from 1000 to get -1106.

$$-17x=-1106$$

Divide both sides by -17.

$$x=\frac{-1106}{-17}$$

Fraction \frac{-1106}{-17} can be simplified to \frac{1106}{17} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1106}{17}$$