Solve x-2(3x+2)=6x-3(-x-2)+6/14

$$x - 2 ( 3 x + 2 ) = 6 x - 3 ( - x - 2 ) + \frac { 6 } { 14 }$$

Solve for x

$$x=-\frac{73}{98}\approx -0.744897959$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 3x+2.

$$x-6x-4=6x-3\left(-x-2\right)+\frac{6}{14}$$

Combine x and -6x to get -5x.

$$-5x-4=6x-3\left(-x-2\right)+\frac{6}{14}$$

Use the distributive property to multiply -3 by -x-2.

$$-5x-4=6x-3\left(-x\right)+6+\frac{6}{14}$$

Multiply -3 and -1 to get 3.

$$-5x-4=6x+3x+6+\frac{6}{14}$$

Combine 6x and 3x to get 9x.

$$-5x-4=9x+6+\frac{6}{14}$$

Reduce the fraction \frac{6}{14} to lowest terms by extracting and canceling out 2.

$$-5x-4=9x+6+\frac{3}{7}$$

Convert 6 to fraction \frac{42}{7}.

$$-5x-4=9x+\frac{42}{7}+\frac{3}{7}$$

Since \frac{42}{7} and \frac{3}{7} have the same denominator, add them by adding their numerators.

$$-5x-4=9x+\frac{42+3}{7}$$

Add 42 and 3 to get 45.

$$-5x-4=9x+\frac{45}{7}$$

Subtract 9x from both sides.

$$-5x-4-9x=\frac{45}{7}$$

Combine -5x and -9x to get -14x.

$$-14x-4=\frac{45}{7}$$

Add 4 to both sides.

$$-14x=\frac{45}{7}+4$$

Convert 4 to fraction \frac{28}{7}.

$$-14x=\frac{45}{7}+\frac{28}{7}$$

Since \frac{45}{7} and \frac{28}{7} have the same denominator, add them by adding their numerators.

$$-14x=\frac{45+28}{7}$$

Add 45 and 28 to get 73.

$$-14x=\frac{73}{7}$$

Divide both sides by -14.

$$x=\frac{\frac{73}{7}}{-14}$$

Express \frac{\frac{73}{7}}{-14} as a single fraction.

$$x=\frac{73}{7\left(-14\right)}$$

Multiply 7 and -14 to get -98.

$$x=\frac{73}{-98}$$

Fraction \frac{73}{-98} can be rewritten as -\frac{73}{98} by extracting the negative sign.

$$x=-\frac{73}{98}$$