Question

A(x+b)=g+3f

solve for x

Answer 1

`x = ((g + 3f)/(a)) - b`

Explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Note that PEMDAS =

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

& is the order of operation.

First, divide a from both sides:

`a(x + b) = g + 3f`

`(a(x + b))/(a) = (g + 3f)/(a)`

`x + b = (g + 3f)/(a)`

Next, subtract b from both sides to isolate the variable, x.

`x + b (-b) = (g + 3f)/(a) (-b)`

`x = ((g + 3f)/(a)) - b`

`x = ((g + 3f)/(a)) - b`