Question

Solve for x.
7(1x - 3) = 4(x + 5)

Answer 1

Answer:

x = 41/3

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Step-by-step explanation:

Step 1: Define equation

7(1x - 3) = 4(x + 5)

Step 2: Solve for x

1. Simplify:                                        7(x - 3) = 4(x + 5)
2. Distribute:                                     7x - 21 = 4x + 20
3. Subtract 4x on both sides:          3x - 21 = 20
4. Add 21 on both sides:                  3x = 41
5. Divide 3 on both sides:                x = 41/3

Step 3: Check

Plug in x to verify it's a solution.

1. Substitute:                    7(1(41/3) - 3) = 4(41/3 + 5)
2. Multiply:                        7(41/3 - 3) = 4(41/3 + 5)
3. Subtract/Add:               7(32/3) = 4(56/3)
4. Multiply:                        224/3 = 224/3

Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.

And we have our final answer!