Question

6 ( x - 1 ) = 9( x - 4 ) solve for x
I'm giving points pls answer fast
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Answer 1

x = 10

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

6(x - 1) = 9(x - 4)

Step 2: Solve for x

1. Distribute: 6x - 6 = 9x - 36
2. Subtract 6x on both sides: -6 = 3x - 36
3. Isolate x term: 30 = 3x
4. Isolate x: 10 = x
5. Rewrite: x = 10

Step 3: Check

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

1. Substitute in x: 6(10 - 1) = 9(10 - 4)
2. Subtract: 6(9) = 9(6)

Here we see that the 2 expressions are exactly the same.

∴ x = 10 is the solution to the equation.