Answer:
x = -6
Step-by-step explanation:
Reorder the terms:
5(-4 + -2x) + -3(4x + 5) = 97
(-4 * 5 + -2x * 5) + -3(4x + 5) = 97
(-20 + -10x) + -3(4x + 5) = 97
Reorder the terms:
-20 + -10x + -3(5 + 4x) = 97
-20 + -10x + (5 * -3 + 4x * -3) = 97
-20 + -10x + (-15 + -12x) = 97
Reorder the terms:
-20 + -15 + -10x + -12x = 97
Combine like terms: -20 + -15 = -35
-35 + -10x + -12x = 97
Combine like terms: -10x + -12x = -22x
-35 + -22x = 97
Solving
-35 + -22x = 97
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '35' to each side of the equation.
-35 + 35 + -22x = 97 + 35
Combine like terms: -35 + 35 = 0
0 + -22x = 97 + 35
-22x = 97 + 35
Combine like terms: 97 + 35 = 132
-22x = 132
Divide each side by '-22'.
x = -6
Simplifying
x = -6
