Question

How do you solve (7x + 5) - (3x + 2)

Answer 1

When solving equations like this, you have to use a method called PEMDAS.

This stands for:

P- Parentesis

E- Exponents

M- Multiply

D- Divide

A- Addition

S- Subtraction

(7x + 5) - (3x +2)

Let's work it out...

Step one) Distribute the equation

Distributing the equation helps simplify it and make solving much easier.

(7x−5) − 1(3x−2)

(7x−5) − 3x + 2

Step two) Eliminate the Parenthesis

Now that the equation is simplified, you can take out the Parenthesis.

(7x − 5) − 3x + 2

7x − 5 − 3x + 2

Step three: Add the numbers

Add the two whole numbers together (-5 + 2)

7x − 5 − 3x + 2

7x − 3 − 3x

Step four: Combine like terms

Combine like terms or the numbers with variables (7x - 3x)

7x − 3 − 3x

4x − 3

Solution

4x - 3

Hope this helped! :)

Answer 2

x = 0.75

Explanation:

Simplifying

(7x + -5) + -1(3x + -2) = 0

Reorder the terms:

(-5 + 7x) + -1(3x + -2) = 0

Remove parenthesis around (-5 + 7x)

-5 + 7x + -1(3x + -2) = 0

Reorder the terms:

-5 + 7x + -1(-2 + 3x) = 0

-5 + 7x + (-2 * -1 + 3x * -1) = 0

-5 + 7x + (2 + -3x) = 0

Reorder the terms:

-5 + 2 + 7x + -3x = 0

Combine like terms: -5 + 2 = -3

-3 + 7x + -3x = 0

Combine like terms: 7x + -3x = 4x

-3 + 4x = 0

Solving

-3 + 4x = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.

-3 + 3 + 4x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + 4x = 0 + 3

4x = 0 + 3

Combine like terms: 0 + 3 = 3

4x = 3

Divide each side by '4'.

x = 0.75

Simplifying

x = 0.75