To solve the equation 5x + 8 - 3x = -10, we can follow these steps:
1. Combine like terms: On the left side of the equation, we have 5x and -3x. Combining these terms gives us 2x. The equation becomes:
2x + 8 = -10
2. Move the constant term to the right side: To isolate the variable x, we need to move the constant term (8) to the right side of the equation by subtracting it from both sides:
2x = -10 - 8
2x = -18
3. Solve for x: To find the value of x, we divide both sides of the equation by the coefficient of x, which is 2:
2x/2 = -18/2
x = -9
Therefore, the solution to the equation 5x + 8 - 3x = -10 is x = -9.