Solve -4/2x+05x/2=4x-1/4x

$$- \frac { 4 } { 2 x } + \frac { 05 x } { 2 } = \frac { 4 x - 1 } { 4 x }$$

Solve for x

$$x = -\frac{7}{4} = -1\frac{3}{4} = -1.75$$

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 2x,2,4x.

$$-2\times 4+2x\times 0\times 5x=4x-1$$

Multiply -2 and 4 to get -8.

$$-8+2x\times 0\times 5x=4x-1$$

Multiply x and x to get x^{2}.

$$-8+2x^{2}\times 0\times 5=4x-1$$

Multiply 2 and 0 to get 0.

$$-8+0x^{2}\times 5=4x-1$$

Multiply 0 and 5 to get 0.

$$-8+0x^{2}=4x-1$$

Anything times zero gives zero.

$$-8+0=4x-1$$

Add -8 and 0 to get -8.

$$-8=4x-1$$

Swap sides so that all variable terms are on the left hand side.

$$4x-1=-8$$

Add 1 to both sides.

$$4x=-8+1$$

Add -8 and 1 to get -7.

$$4x=-7$$

Divide both sides by 4.

$$x=\frac{-7}{4}$$

Fraction \frac{-7}{4} can be rewritten as -\frac{7}{4} by extracting the negative sign.

$$x=-\frac{7}{4}$$