Solve 3x/6div11(2div5)=17.5x-(3^2)

$$\frac{ 3x }{ 6 } \div 11(2 \div 5)=17.5x-( { 3 }^{ 2 } )$$

Solve for x

$$x=\frac{330}{641}\approx 0.514820593$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 55, the least common multiple of 11,5.

$$5\times \frac{3x}{6}\times \frac{2}{5}=962.5x-55\times 3^{2}$$

Divide 3x by 6 to get \frac{1}{2}x.

$$5\times \frac{1}{2}x\times \frac{2}{5}=962.5x-55\times 3^{2}$$

Multiply 5 and \frac{1}{2} to get \frac{5}{2}.

$$\frac{5}{2}x\times \frac{2}{5}=962.5x-55\times 3^{2}$$

Cancel out \frac{5}{2} and its reciprocal \frac{2}{5}.

$$x=962.5x-55\times 3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$x=962.5x-55\times 9$$

Multiply 55 and 9 to get 495.

$$x=962.5x-495$$

Subtract 962.5x from both sides.

$$x-962.5x=-495$$

Combine x and -962.5x to get -961.5x.

$$-961.5x=-495$$

Divide both sides by -961.5.

$$x=\frac{-495}{-961.5}$$

Expand \frac{-495}{-961.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-4950}{-9615}$$

Reduce the fraction \frac{-4950}{-9615} to lowest terms by extracting and canceling out -15.

$$x=\frac{330}{641}$$