Answer: x = 0.8
Step-by-step explanation:
Simplifying
-2x + -5x + -9 = 3(x + -4) + -5
Reorder the terms:
-9 + -2x + -5x = 3(x + -4) + -5
Combine like terms: -2x + -5x = -7x
-9 + -7x = 3(x + -4) + -5
Reorder the terms:
-9 + -7x = 3(-4 + x) + -5
-9 + -7x = (-4 * 3 + x * 3) + -5
-9 + -7x = (-12 + 3x) + -5
Reorder the terms:
-9 + -7x = -12 + -5 + 3x
Combine like terms: -12 + -5 = -17
-9 + -7x = -17 + 3x
Solving
-9 + -7x = -17 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-9 + -7x + -3x = -17 + 3x + -3x
Combine like terms: -7x + -3x = -10x
-9 + -10x = -17 + 3x + -3x
Combine like terms: 3x + -3x = 0
-9 + -10x = -17 + 0
-9 + -10x = -17
Add '9' to each side of the equation.
-9 + 9 + -10x = -17 + 9
Combine like terms: -9 + 9 = 0
0 + -10x = -17 + 9
-10x = -17 + 9
Combine like terms: -17 + 9 = -8
-10x = -8
Divide each side by '-10'.
x = 0.8