Solve x+7/3=7x/0.5

$$\frac{ x+7 }{ 3 } = \frac{ 7x }{ 0.5 }$$

Solve for x

$$x=\frac{7}{41}\approx 0.170731707$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$x+7=3\times \frac{7x}{0.5}$$

Divide 7x by 0.5 to get 14x.

$$x+7=3\times 14x$$

Multiply 3 and 14 to get 42.

$$x+7=42x$$

Subtract 42x from both sides.

$$x+7-42x=0$$

Combine x and -42x to get -41x.

$$-41x+7=0$$

Subtract 7 from both sides. Anything subtracted from zero gives its negation.

$$-41x=-7$$

Divide both sides by -41.

$$x=\frac{-7}{-41}$$

Fraction \frac{-7}{-41} can be simplified to \frac{7}{41} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{41}$$