Solve 55/3-6x=-7/2x+1

$$5 \frac{ 5 }{ 3 } -6x = - \frac{ 7 }{ 2 } x+1$$

Solve for x

$$x = \frac{34}{15} = 2\frac{4}{15} \approx 2.266666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2\left(5\times 3+5\right)-36x=-21x+6$$

Multiply 5 and 3 to get 15.

$$2\left(15+5\right)-36x=-21x+6$$

Add 15 and 5 to get 20.

$$2\times 20-36x=-21x+6$$

Multiply 2 and 20 to get 40.

$$40-36x=-21x+6$$

Add 21x to both sides.

$$40-36x+21x=6$$

Combine -36x and 21x to get -15x.

$$40-15x=6$$

Subtract 40 from both sides.

$$-15x=6-40$$

Subtract 40 from 6 to get -34.

$$-15x=-34$$

Divide both sides by -15.

$$x=\frac{-34}{-15}$$

Fraction \frac{-34}{-15} can be simplified to \frac{34}{15} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{34}{15}$$