Solve 1-5x/2=5+3x/30

$$\frac{ 1-5x }{ 2 } = \frac{ 5+3x }{ 30 }$$

Solve for x

$$x=\frac{5}{39}\approx 0.128205128$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 2,30.

$$15\left(1-5x\right)=5+3x$$

Use the distributive property to multiply 15 by 1-5x.

$$15-75x=5+3x$$

Subtract 3x from both sides.

$$15-75x-3x=5$$

Combine -75x and -3x to get -78x.

$$15-78x=5$$

Subtract 15 from both sides.

$$-78x=5-15$$

Subtract 15 from 5 to get -10.

$$-78x=-10$$

Divide both sides by -78.

$$x=\frac{-10}{-78}$$

Reduce the fraction \frac{-10}{-78} to lowest terms by extracting and canceling out -2.

$$x=\frac{5}{39}$$