Solve 3/4x+8/4+ax/2=7/4+ax/2-x

$$3 / 4 x + 8 / 4 + a x / 2 = 7 / 4 + a x / 2 - x$$

Solve for x

$$x = -\frac{1}{7} = -0.14285714285714285$$

Steps for Solving Linear Equation

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

$$3x+8+2ax=7+2ax-4x$$

Subtract 2ax from both sides.

$$3x+8+2ax-2ax=7-4x$$

Combine 2ax and -2ax to get 0.

$$3x+8=7-4x$$

Add 4x to both sides.

$$3x+8+4x=7$$

Combine 3x and 4x to get 7x.

$$7x+8=7$$

Subtract 8 from both sides.

$$7x=7-8$$

Subtract 8 from 7 to get -1.

$$7x=-1$$

Divide both sides by 7.

$$x=\frac{-1}{7}$$

Fraction \frac{-1}{7} can be rewritten as -\frac{1}{7} by extracting the negative sign.

$$x=-\frac{1}{7}$$

Solve for a (complex solution)

$$a\in \mathrm{C}$$

$$x = -\frac{1}{7} = -0.14285714285714285$$

Solve for a

$$a\in \mathrm{R}$$

$$x = -\frac{1}{7} = -0.14285714285714285$$