Question

5(x+4)= -2(-4-x)+3
what is the answer?

Answer 1

x=-3

Explanation:

first multiply them out: 5x+20=2x+11

then subtract both sides by 2x: 3x+20=11

subtract both sides by 20: 3x=-9

divide both sides by 3: x=-3

Answer 2

x = -3

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

5(x + 4) = -2(-4 - x) + 3

Step 2: Solve for x

1. Distribute: 5x + 20 = 8 + 2x + 3
2. Combine like terms: 5x + 20 = 2x + 11
3. Subtract 2x on both sides: 3x + 20 = 11
4. Subtract 20 on both sides: 3x = -9
5. Divide 3 on both sides: x = -3

Step 3: Check

Plug in x to verify it's a solution.

1. Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
2. Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
3. Add: 5(1) = -2(-1) + 3
4. Multiply: 5 = 2 + 3
5. Add: 5 = 5

Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.

And we have our final answer!