Question

3(x - 10) + (3x - 6) =

Explanation:

The image seems to show an incomplete equation. Let's assume the equation is \( 3(x - 10)+(3x - 6)=\) (maybe equal to some number, but since it's cut off, we can simplify the left - hand side first).

Step 1: Distribute the 3

We use the distributive property \(a(b + c)=ab+ac\). For \(3(x - 10)\), we have \(3\times x-3\times10 = 3x-30\). The equation now becomes \(3x - 30+(3x - 6)\).

Step 2: Combine like terms

First, remove the parentheses: \(3x-30 + 3x-6\). Then, combine the \(x\) - terms: \(3x+3x=6x\), and combine the constant terms: \(-30-6=-36\). So the simplified form of the left - hand side is \(6x-36\).

If we assume the equation is equal to 0 (since the right - hand side is cut off, this is a common case for solving equations), we can continue:

Step 3: Solve for x (assuming the equation is \(6x - 36 = 0\))

Add 36 to both sides of the equation: \(6x-36 + 36=0 + 36\), which gives \(6x=36\).

Step 4: Divide by 6

Divide both sides by 6: \(\frac{6x}{6}=\frac{36}{6}\), so \(x = 6\).

Since the original problem's equation is incomplete, if we assume the equation is \(3(x - 10)+(3x - 6)=0\) (a common type of linear equation problem), the solution for \(x\) is 6.

Answer:

If the equation is \(3(x - 10)+(3x - 6)=0\), then \(x=\boldsymbol{6}\)