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Sagot :
The equation is -8(6x - 12) + 4 = -10 (x + 8) + 408
Let us simplify each side at first
-8(6x - 12) + 4
We will multiply the bracket by -8
(-8)(6x) + (-8)(-12) + 4 = -48 x + 96 + 4
Add the like terms 96 + 4
The left side is -48 x + 100
-10(x + 8) + 408 = (-10)(x) + (-10)(8) + 408 = -10x - 80 + 408
Add the like terms -80 + 408
The right side is -10x + 328
So the equation after simplifying is
-48 x + 100 = -10 x + 328
Add 10x to both sides
-48 x + 10 x + 100 = -10 x + 10 x + 328
-38 x + 100 = 328
Subtract 100 from both sides
-38 x + 100 - 100 = 328 - 100
-38 x = 228
Divide both sides by -38 to get x
[tex]\begin{gathered} \frac{-38x}{-38}=\frac{228}{-38} \\ x=-6 \end{gathered}[/tex]The solution of the equation is - 6
You can check the answer by substituting the value of x in each side the two sides must be equal
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