Answer: Solution for (-3x+20)+(-2x+55)=180 equation: x= -21
Step-by-step explanation:
Simplifying
(-3x + 20) + (-2x + 55) = 180
Reorder the terms:
(20 + -3x) + (-2x + 55) = 180
Remove parenthesis around (20 + -3x)
20 + -3x + (-2x + 55) = 180
Reorder the terms:
20 + -3x + (55 + -2x) = 180
Remove parenthesis around (55 + -2x)
20 + -3x + 55 + -2x = 180
Reorder the terms:
20 + 55 + -3x + -2x = 180
Combine like terms: 20 + 55 = 75
75 + -3x + -2x = 180
Combine like terms: -3x + -2x = -5x
75 + -5x = 180
Solving
75 + -5x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-75' to each side of the equation.
75 + -75 + -5x = 180 + -75
Combine like terms: 75 + -75 = 0
0 + -5x = 180 + -75
-5x = 180 + -75
Combine like terms: 180 + -75 = 105
-5x = 105
Divide each side by '-5'.
x = -21
Simplifying
x = -21
