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

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

Solve for x

$$x=-\frac{3}{13}\approx -0.230769231$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

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

Use the distributive property to multiply 2 by 1-5x.

$$2-10x=5+3x$$

Subtract 3x from both sides.

$$2-10x-3x=5$$

Combine -10x and -3x to get -13x.

$$2-13x=5$$

Subtract 2 from both sides.

$$-13x=5-2$$

Subtract 2 from 5 to get 3.

$$-13x=3$$

Divide both sides by -13.

$$x=\frac{3}{-13}$$

Fraction \frac{3}{-13} can be rewritten as -\frac{3}{13} by extracting the negative sign.

$$x=-\frac{3}{13}$$