Solve x-7/10=x/4

$$\frac { x - 7 } { 10 } = \frac { x } { 4 }$$

Solve for x

$$x = -\frac{14}{3} = -4\frac{2}{3} \approx -4.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 10,4.

$$2\left(x-7\right)=5x$$

Use the distributive property to multiply 2 by x-7.

$$2x-14=5x$$

Subtract 5x from both sides.

$$2x-14-5x=0$$

Combine 2x and -5x to get -3x.

$$-3x-14=0$$

Add 14 to both sides. Anything plus zero gives itself.

$$-3x=14$$

Divide both sides by -3.

$$x=\frac{14}{-3}$$

Fraction \frac{14}{-3} can be rewritten as -\frac{14}{3} by extracting the negative sign.

$$x=-\frac{14}{3}$$