Solve -x-12/7/10=x-20/7/-2

$$\frac{ -x- \frac{ 12 }{ 7 } }{ 10 } = \frac{ x- \frac{ 20 }{ 7 } }{ -2 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 10,-2.

$$-x-\frac{12}{7}=-5\left(x-\frac{20}{7}\right)$$

Use the distributive property to multiply -5 by x-\frac{20}{7}.

$$-x-\frac{12}{7}=-5x-5\left(-\frac{20}{7}\right)$$

Express -5\left(-\frac{20}{7}\right) as a single fraction.

$$-x-\frac{12}{7}=-5x+\frac{-5\left(-20\right)}{7}$$

Multiply -5 and -20 to get 100.

$$-x-\frac{12}{7}=-5x+\frac{100}{7}$$

Add 5x to both sides.

$$-x-\frac{12}{7}+5x=\frac{100}{7}$$

Add \frac{12}{7} to both sides.

$$-x+5x=\frac{100}{7}+\frac{12}{7}$$

Since \frac{100}{7} and \frac{12}{7} have the same denominator, add them by adding their numerators.

$$-x+5x=\frac{100+12}{7}$$

Add 100 and 12 to get 112.

$$-x+5x=\frac{112}{7}$$

Divide 112 by 7 to get 16.

$$-x+5x=16$$

Combine -x and 5x to get 4x.

$$4x=16$$

Divide both sides by 4.

$$x=\frac{16}{4}$$

Divide 16 by 4 to get 4.

$$x=4$$