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

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

Solve for x

$$x=\frac{5}{23}\approx 0.217391304$$

Steps for Solving Linear Equation

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

$$x-1-2\left(2x-3\right)=20x$$

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

$$x-1-4x+6=20x$$

Combine x and -4x to get -3x.

$$-3x-1+6=20x$$

Add -1 and 6 to get 5.

$$-3x+5=20x$$

Subtract 20x from both sides.

$$-3x+5-20x=0$$

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

$$-23x+5=0$$

Subtract 5 from both sides. Anything subtracted from zero gives its negation.

$$-23x=-5$$

Divide both sides by -23.

$$x=\frac{-5}{-23}$$

Fraction \frac{-5}{-23} can be simplified to \frac{5}{23} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{5}{23}$$