Solve x/20-x-4/10=3+x/15

$$\frac { x } { 20 } - \frac { x - 4 } { 10 } = \frac { 3 + x } { 15 }$$

Solve for x

$$x = \frac{12}{7} = 1\frac{5}{7} \approx 1.714285714$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 20,10,15.

$$3x-6\left(x-4\right)=4\left(3+x\right)$$

Use the distributive property to multiply -6 by x-4.

$$3x-6x+24=4\left(3+x\right)$$

Combine 3x and -6x to get -3x.

$$-3x+24=4\left(3+x\right)$$

Use the distributive property to multiply 4 by 3+x.

$$-3x+24=12+4x$$

Subtract 4x from both sides.

$$-3x+24-4x=12$$

Combine -3x and -4x to get -7x.

$$-7x+24=12$$

Subtract 24 from both sides.

$$-7x=12-24$$

Subtract 24 from 12 to get -12.

$$-7x=-12$$

Divide both sides by -7.

$$x=\frac{-12}{-7}$$

Fraction \frac{-12}{-7} can be simplified to \frac{12}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{12}{7}$$