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2 years ago

Solve the equation for x: -3(x + 4) + 5x = 24

Mathematics

2 answers:

Makovka662 [10]2 years ago

8 0

Answer:

x = 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-3(x + 4) + 5x = 24

Step 2: Solve for x

Distribute -3: -3x - 12 + 5x = 24
Combine like terms: 2x - 12 = 24
Isolate x term: 2x = 36
Isolate x: x = 18

Step 3: Check

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

Substitute in x: -3(18 + 4) + 5(18) = 24
Add: -3(22) + 5(18) = 24
Multiply: -66 + 90 = 24
Add: 24 = 24

Here we see that 24 does indeed equal 24.

∴ x = 18 is the solution to the equation.

mr_godi [17]2 years ago

6 0

<h2>Answer:</h2>

$-3(x + 4) + 5x = 24\\\\-3x - 12 + 5x = 24\\\\2x - 12 = 24\\\\2x = 36\\\\x = 18$

The solution for x in this equation is 18.

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