Middle School

Steps for solving \(4(3x - 6) = 24\) are shown.

1. \(4(3x - 6) = 24\)
2. \(12x - 24 = 24\)
3. \(12x - 24 + 24 = 24 + 24\)
4. \(12x = 48\)
5. \(\frac{12x}{12} = \frac{48}{12}\)
6. \(x = 4\)

Original Equation

Step 1

Step 2

Step 3

Step 4

Step 5

Answer :

Final answer:

This math problem is a simple linear equation. It starts by distributing a multiplication across a set of terms in brackets. Then, it balances both sides of the equation before finally solving for the unknown variable, x. The solution is x=4.

Explanation:

The problem given is a linear equation which is to be solved for the unknown variable x. In the given steps, the equation has been simplified by distributing the 4 in the brackets across both terms within it, yielding 12x - 24 = 24. Then, both sides of the equation are balanced by adding 24, resulting in 12x = 48. Finally, to solve for x, both sides of the equation are divided by 12, thus solving for the unknown variable x, whose value is discovered to be 4.

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