Solve x-6/35=26/45x

$$x - \frac { 6 } { 35 } = \frac { 26 } { 45 } x$$

Solve for x

$$x=\frac{54}{133}\approx 0.406015038$$

Steps for Solving Linear Equation

Subtract \frac{26}{45}x from both sides.

$$x-\frac{6}{35}-\frac{26}{45}x=0$$

Combine x and -\frac{26}{45}x to get \frac{19}{45}x.

$$\frac{19}{45}x-\frac{6}{35}=0$$

Add \frac{6}{35} to both sides. Anything plus zero gives itself.

$$\frac{19}{45}x=\frac{6}{35}$$

Multiply both sides by \frac{45}{19}, the reciprocal of \frac{19}{45}.

$$x=\frac{6}{35}\times \frac{45}{19}$$

Multiply \frac{6}{35} times \frac{45}{19} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{6\times 45}{35\times 19}$$

Do the multiplications in the fraction \frac{6\times 45}{35\times 19}.

$$x=\frac{270}{665}$$

Reduce the fraction \frac{270}{665} to lowest terms by extracting and canceling out 5.

$$x=\frac{54}{133}$$