Answer:
A. x = 9
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other.
First, distribute -4 to all 6x and 3, as well as -12 to x and 10.
-4(6x + 3) = (-4 * 6x) + (-4 * 3) = -24x - 12
-12(x + 10) = (-12 * x) + (-12 * 10) = -12x - 120
-24x - 12 = -12x - 120
Isolate the variable, x. Add 12 & 12x to both sides.
-24x (+12x) - 12 (+12) = -12x (+12x) - 120 (+12)
-24x + 12x = -120 + 12
Simplify. Combine like terms.
(-24x + 12x) = (-120 + 12)
-12x = -108
Isolate the variable, x. Divide -12 from both sides.
(-12x)/-12 = (-108)/-12
x = 9
A. x = 9 is your answer.
Check: Plug in 9 for x in the equation:
–4(6x + 3) = –12(x + 10)
-4(6(9) + 3) = -12(9 + 10)
-4(54 + 3) = -12(19)
-4(57) = -12(19)
-228 = -228 (True)
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