Solve 1-9/4x=10/2

$$1 - \frac { 9 } { 4 x } = \frac { 10 } { 2 }$$

Solve for x

$$x=-\frac{9}{16}=-0.5625$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of 4x,2.

$$4x-9=2x\times 10$$

Multiply 2 and 10 to get 20.

$$4x-9=20x$$

Subtract 20x from both sides.

$$4x-9-20x=0$$

Combine 4x and -20x to get -16x.

$$-16x-9=0$$

Add 9 to both sides. Anything plus zero gives itself.

$$-16x=9$$

Divide both sides by -16.

$$x=\frac{9}{-16}$$

Fraction \frac{9}{-16} can be rewritten as -\frac{9}{16} by extracting the negative sign.

$$x=-\frac{9}{16}$$