Solve 2c/3-4c/5=7

$$\frac { 2 c } { 3 } - \frac { 4 c } { 5 } = 7$$

Solve for c

$$c = -\frac{105}{2} = -52\frac{1}{2} = -52.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$5\times 2c-3\times 4c=105$$

Multiply 5 and 2 to get 10.

$$10c-3\times 4c=105$$

Multiply -3 and 4 to get -12.

$$10c-12c=105$$

Combine 10c and -12c to get -2c.

$$-2c=105$$

Divide both sides by -2.

$$c=\frac{105}{-2}$$

Fraction \frac{105}{-2} can be rewritten as -\frac{105}{2} by extracting the negative sign.

$$c=-\frac{105}{2}$$