4(x-4)+64=-2x
ok, get rid of the brackets first
4x-16 +64 = -2x
now add the like terms on the left (remember the minus sign belongs to the thing behind it, in this case 16) -16+64 = 64-16
4x + 48 = -2x
now you want the lots of x on one side and the numbers with no x on the other side If you take away 4x on the left side you will be left with just 48
4x-4x + 48 = -2x -4x
48= -6x
Now you need to get rid of -6 on the right side. The opposite of multiplying by -6 is dividing by -6. You have to do in to both sides.
48/(-6) = -6*x / -6
-8 = x
x = -8
You can check your answer LHS = 4(x-4)+64 = 4*(-8-4) +64 = 4 * -12 + 64 = -48 + 64 = 16
RHS = -2x = -2* -8 = 16
The left hand side equals the right hand side so the answer is correct.
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