Answer:
x = 0
Step-by-step explanation:
Solve for x:
-1.2 (3 x - 3) = 4 (3 x + 0.9)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
3.6 - 3.6 x = 4 (3 x + 0.9)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
3.6 - 3.6 x = 12 x + 3.6
Hint: | Move terms with x to the left hand side.
Subtract 12 x from both sides:
3.6 + (-3.6 x - 12 x) = (12 x - 12 x) + 3.6
Hint: | Combine like terms in -3.6 x - 12 x.
-3.6 x - 12 x = -15.6 x:
-15.6 x + 3.6 = (12 x - 12 x) + 3.6
Hint: | Look for the difference of two identical terms.
12 x - 12 x = 0:
3.6 - 15.6 x = 3.6
Hint: | Isolate terms with x to the left hand side.
Subtract 3.5999999999999996` from both sides:
(3.6 - 3.6) - 15.6 x = 3.6 - 3.6
Hint: | Look for the difference of two identical terms.
3.6 - 3.6 = 0:
-15.6 x = 3.6 - 3.6
Hint: | Look for the difference of two identical terms.
3.6 - 3.6 = 0:
-15.6 x = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -15.6 x = 0 by -15.6:
(-15.6 x)/(-15.6) = 0/(-15.6)
Hint: | Any nonzero number divided by itself is one.
(-15.6)/(-15.6) = 1:
x = 0/(-15.6)
Hint: | Zero divided by any non-zero number is zero.
0/(-15.6) = 0:
Answer: x = 0
