To solve the equation \(14x + 15x - 8 + 3 = -2x + 3 - 8\), let's start by simplifying both sides:

1. Combine like terms on the left side:
\[ 14x + 15x - 8 + 3 = 29x - 5 \]

2. Combine like terms on the right side:
\[ -2x + 3 - 8 = -2x - 5 \]

Now the equation is:
\[ 29x - 5 = -2x - 5 \]

3. Add \(2x\) to both sides to get all the \(x\) terms on one side:
\[ 29x + 2x - 5 = -2x + 2x - 5 \]
\[ 31x - 5 = -5 \]

4. Add 5 to both sides to isolate the \(x\) term:
\[ 31x - 5 + 5 = -5 + 5 \]
\[ 31x = 0 \]

5. Divide both sides by 31 to solve for \(x\):
\[ x = \frac{0}{31} \]
\[ x = 0 \]

So, the solution is:
\[ x = 0 \]

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 double-check your combining of like terms to avoid mistakes and ensure accuracy in solving equations.

Learn how to solve the equation 14x + 15x - 8 + 3 = -2x + 3 - 8 with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving linear equations and combining like terms. Suitable for students in Grades 6-8.

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