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

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

Solve for x

$$x=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

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

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

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

$$3-15x=2\left(5+3x\right)$$

Use the distributive property to multiply 2 by 5+3x.

$$3-15x=10+6x$$

Subtract 6x from both sides.

$$3-15x-6x=10$$

Combine -15x and -6x to get -21x.

$$3-21x=10$$

Subtract 3 from both sides.

$$-21x=10-3$$

Subtract 3 from 10 to get 7.

$$-21x=7$$

Divide both sides by -21.

$$x=\frac{7}{-21}$$

Reduce the fraction \frac{7}{-21} to lowest terms by extracting and canceling out 7.

$$x=-\frac{1}{3}$$