To solve the equation \( 15x + 15x - 8 + 3 = -2x \), we need to simplify and combine like terms.

1. Combine like terms on the left side of the equation:
\[ 15x + 15x - 8 + 3 = -2x \]
\[ 30x - 5 = -2x \]

2. Next, add \(2x\) to both sides of the equation to move the \(x\) terms to one side:
\[ 30x + 2x - 5 = -2x + 2x \]
\[ 32x - 5 = 0 \]

3. Then, add 5 to both sides of the equation to isolate the \(x\) term:
\[ 32x - 5 + 5 = 0 + 5 \]
\[ 32x = 5 \]

4. Finally, divide both sides by 32 to solve for \(x\):
\[ x = \frac{5}{32} \]

So, the solution is:
\[ x = \frac{5}{32} \]

Would you like more details or have any questions?

Here are some related questions for further practice:

1. Solve for \(x\): \(12x - 7 + 2x = 3x + 15\).
2. Solve for \(x\): \(5x + 3x - 4 = 7 - 2x\).
3. Simplify and solve for \(x\): \(9x - 4 + 6x = 2x + 11\).
4. Solve for \(x\): \(7x + 5x - 9 = -3x + 4\).
5. Solve for \(x\): \(2x + 3x - 8 = -x + 6\).
6. Solve for \(x\): \(11x + 14x - 20 = 5 - 3x\).
7. Solve for \(x\): \(6x + 7x - 9 = 2 - 4x\).
8. Solve for \(x\): \(8x + 5x - 7 = -2x + 3\).

**Tip:** Always combine like terms first to simplify the equation before solving for the variable.

Learn how to solve the equation 15x + 15x - 8 + 3 = -2x step-by-step with detailed explanations. This problem involves combining like terms and solving a linear equation, suitable for students in Grades 7-9 studying algebra.

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