what is (-x-3)+(4x-7)simplified?
please show the work, thenk you.
(-x-3)+(4x-7)
=3x -10
(-x-3)+(4x-7)
=(+4x-x)+(-7-3)
=3x-10
To simplify the expression (-x - 3) + (4x - 7), we need to combine like terms by adding or subtracting the coefficients of similar variables. Here's the step-by-step solution:
1. Start by distributing the negative sign to the terms inside the first parentheses:
-x - 3 + 4x - 7
2. Combine the x terms (-x and 4x):
(-x + 4x) - 3 - 7
3. Simplify the x terms:
3x - 3 - 7
4. Combine the constants (-3 and -7):
3x - 10
Therefore, the simplified expression is 3x - 10.
Now, let's work through the solution:
(-x - 3) + (4x - 7)
= -x - 3 + 4x - 7
= -x + 4x - 3 - 7
= (1x) + (4x) + (-3) + (-7)
= 5x - 10
So, the simplified expression is 5x - 10.