Solve the following equation.
40 x minus 900equalsnegative 25 x plus 2350

We are given the equation:

\[
40x - 900 = -25x + 2350
\]

To solve for \(x\), follow these steps:

### Step 1: Combine like terms
Add \(25x\) to both sides to move all \(x\)-terms to the left side:

\[
40x + 25x - 900 = 2350
\]
\[
65x - 900 = 2350
\]

### Step 2: Move constant terms to the other side
Add 900 to both sides to isolate the \(x\)-term:

\[
65x = 2350 + 900
\]
\[
65x = 3250
\]

### Step 3: Solve for \(x\)
Divide both sides by 65:

\[
x = \frac{3250}{65}
\]
\[
x = 50
\]

Thus, the solution is:

\[
x = 50
\]

Would you like a detailed explanation of any step or have any questions?

Here are five related questions to practice:
1. Solve \(30x + 200 = -20x + 1800\).
2. Solve \(50x - 1000 = 35x + 1500\).
3. Solve \(20x - 500 = -10x + 1200\).
4. Solve \(60x + 300 = -40x + 2500\).
5. Solve \(25x - 800 = -15x + 1800\).

**Tip:** Always aim to group like terms on one side of the equation to make the solving process easier.

Solve the following equation: 40x - 900 = -25x + 2350

Learn how to solve the linear equation 40x - 900 = -25x + 2350 with a clear, step-by-step guide. This solution covers key algebra concepts like combining like terms and solving for x. Suitable for students in Grades 6-8.

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