Solve the equations for x and match the solutions.

1. x = -a/6

2. x = 3/a

x = -6/a

Step-by-step explanation:

1. 4 = (6/a)x+5

subtract 5 from both sides

-1 = (6/a)x

divide by 6/a on both sides

x = -a/6

To make that last part simpler, you could think of it as first multiplying by a and then dividing by 6.

2. 7+2ax = 13

subtract 7

2ax = 6

divide by 2

ax = 3

divide by a

x = 3/a

3. -ax-20 = -14

add 20

-ax = 6

divide by -a

x = 6/-a = -6/a

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.