Question

Solve for x. 2(5x+6)=4(2x+5)

Answer 1

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Explanation:

Step 1: Define equation

2(5x + 6) = 4(2x + 5)

Step 2: Solve for x

1. Distribute: 10x + 12 = 8x + 20
2. Subtract 8x on both sides: 2x + 12 = 20
3. Subtract 12 on both sides: 2x = 8
4. Divide 2 on both sides: x = 4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

1. Substitute in x: 2(5(4) + 6) = 4(2(4) + 5)
2. Multiply: 2(20 + 6) = 4(8 + 5)
3. Add: 2(26) = 4(13)
4. Multiply: 52 = 52

Here we see that 52 does indeed equal 52.

∴ x = 4 is a solution of the equation.