Solve 18.9-2a+x=5a-4

$$18.9 - 2 a + x = 5 a - 4$$

Solve for a

$$a=\frac{x}{7}+\frac{229}{70}$$

Steps for Solving Linear Equation

Subtract 5a from both sides.

$$18.9-2a+x-5a=-4$$

Combine -2a and -5a to get -7a.

$$18.9-7a+x=-4$$

Subtract 18.9 from both sides.

$$-7a+x=-4-18.9$$

Subtract 18.9 from -4 to get -22.9.

$$-7a+x=-22.9$$

Subtract x from both sides.

$$-7a=-22.9-x$$

The equation is in standard form.

$$-7a=-x-22.9$$

Divide both sides by -7.

$$\frac{-7a}{-7}=\frac{-x-22.9}{-7}$$

Dividing by -7 undoes the multiplication by -7.

$$a=\frac{-x-22.9}{-7}$$

Divide -22.9-x by -7.

$$a=\frac{x}{7}+\frac{229}{70}$$

Solve for x

$$x=7a-22.9$$

Solution Steps

Subtract 18.9 from both sides.

$$-2a+x=5a-4-18.9$$

Subtract 18.9 from -4 to get -22.9.

$$-2a+x=5a-22.9$$

Add 2a to both sides.

$$x=5a-22.9+2a$$

Combine 5a and 2a to get 7a.

$$x=7a-22.9$$