Solve x-7/4-2x-3/2=5x

$$\frac { x - 7 } { 4 } - \frac { 2 x - 3 } { 2 } = 5 x$$

Solve for x

$$x=-\frac{1}{23}\approx -0.043478261$$

Steps for Solving Linear Equation

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

$$x-7-2\left(2x-3\right)=20x$$

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

$$x-7-4x+6=20x$$

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

$$-3x-7+6=20x$$

Add -7 and 6 to get -1.

$$-3x-1=20x$$

Subtract 20x from both sides.

$$-3x-1-20x=0$$

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

$$-23x-1=0$$

Add 1 to both sides. Anything plus zero gives itself.

$$-23x=1$$

Divide both sides by -23.

$$x=\frac{1}{-23}$$

Fraction \frac{1}{-23} can be rewritten as -\frac{1}{23} by extracting the negative sign.

$$x=-\frac{1}{23}$$