Solve 5+x-1/4-2x+3/5=-10

$$5+ \frac{ x-1 }{ 4 } - \frac{ 2x+3 }{ 5 } =-10$$

Solve for x

$$x = \frac{283}{3} = 94\frac{1}{3} \approx 94.333333333$$

Steps for Solving Linear Equation

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

$$100+5\left(x-1\right)-4\left(2x+3\right)=-200$$

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

$$100+5x-5-4\left(2x+3\right)=-200$$

Subtract 5 from 100 to get 95.

$$95+5x-4\left(2x+3\right)=-200$$

Use the distributive property to multiply -4 by 2x+3.

$$95+5x-8x-12=-200$$

Combine 5x and -8x to get -3x.

$$95-3x-12=-200$$

Subtract 12 from 95 to get 83.

$$83-3x=-200$$

Subtract 83 from both sides.

$$-3x=-200-83$$

Subtract 83 from -200 to get -283.

$$-3x=-283$$

Divide both sides by -3.

$$x=\frac{-283}{-3}$$

Fraction \frac{-283}{-3} can be simplified to \frac{283}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{283}{3}$$