Solve 2x+1/5-3x+1/4=5

$$\frac { 2 x + 1 } { 5 } - \frac { 3 x + 1 } { 4 } = 5$$

Solve for x

$$x = -\frac{101}{7} = -14\frac{3}{7} \approx -14.428571429$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4.

$$4\left(2x+1\right)-5\left(3x+1\right)=100$$

Use the distributive property to multiply 4 by 2x+1.

$$8x+4-5\left(3x+1\right)=100$$

Use the distributive property to multiply -5 by 3x+1.

$$8x+4-15x-5=100$$

Combine 8x and -15x to get -7x.

$$-7x+4-5=100$$

Subtract 5 from 4 to get -1.

$$-7x-1=100$$

Add 1 to both sides.

$$-7x=100+1$$

Add 100 and 1 to get 101.

$$-7x=101$$

Divide both sides by -7.

$$x=\frac{101}{-7}$$

Fraction \frac{101}{-7} can be rewritten as -\frac{101}{7} by extracting the negative sign.

$$x=-\frac{101}{7}$$