Solve 4c-2/10-4=12c+4/8

$$\frac { 4 c - 2 } { 10 } - 4 = \frac { 12 c + 4 } { 8 }$$

Solve for c

$$c = -\frac{47}{11} = -4\frac{3}{11} \approx -4.272727273$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 10,8.

$$4\left(4c-2\right)-160=5\left(12c+4\right)$$

Use the distributive property to multiply 4 by 4c-2.

$$16c-8-160=5\left(12c+4\right)$$

Subtract 160 from -8 to get -168.

$$16c-168=5\left(12c+4\right)$$

Use the distributive property to multiply 5 by 12c+4.

$$16c-168=60c+20$$

Subtract 60c from both sides.

$$16c-168-60c=20$$

Combine 16c and -60c to get -44c.

$$-44c-168=20$$

Add 168 to both sides.

$$-44c=20+168$$

Add 20 and 168 to get 188.

$$-44c=188$$

Divide both sides by -44.

$$c=\frac{188}{-44}$$

Reduce the fraction \frac{188}{-44} to lowest terms by extracting and canceling out 4.

$$c=-\frac{47}{11}$$