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

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

Solve for x

$$x=-\frac{8}{23}\approx -0.347826087$$

Steps for Solving Linear Equation

Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by 4\left(x+4\right), the least common multiple of 4+x,4.

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

Use the distributive property to multiply 4 by 1-5x.

$$4-20x=3\left(x+4\right)$$

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

$$4-20x=3x+12$$

Subtract 3x from both sides.

$$4-20x-3x=12$$

Combine -20x and -3x to get -23x.

$$4-23x=12$$

Subtract 4 from both sides.

$$-23x=12-4$$

Subtract 4 from 12 to get 8.

$$-23x=8$$

Divide both sides by -23.

$$x=\frac{8}{-23}$$

Fraction \frac{8}{-23} can be rewritten as -\frac{8}{23} by extracting the negative sign.

$$x=-\frac{8}{23}$$