Question

a(x+b)=g+3f

solve for x

Answer 1

Answer:

$x = (\frac{g + 3f}{a}) - b$

Step-by-step 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:

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

$\frac{a(x + b)}{a} = \frac{g + 3f}{a}$

$x + b = \frac{g + 3f}{a}$

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

$x + b (-b) = \frac{g + 3f}{a} (-b)$

$x = (\frac{g + 3f}{a}) - b$

$x = (\frac{g + 3f}{a}) - b$