Hey there!
6(x - 6) + 8 = 8x - 6
6(x) + 6(-6) + 8 = 8x - 6
6x - 36 + 8 = 8x - 6
6x - 28 = 8x - 6
SUBTRACT 8x to BOTH SIDES
6x - 28 - 6x = 8x - 6 - 8x
WORK IT OUT/SIMPLIFY IT!
NEW EQUATION: -2x - 28 = -6
ADD 28 to BOTH SIDES
-2x - 28 + 28 = -6 + 28
CANCEL out: -28 + 28 because it gives you 0
KEEP: -6 + 28 because it help you solve for the x-value
NEW EQUATION: -2x = -6 + 28
SIMPLIFY IT!
-2x = 22
DIVIDE -2 to BOTH SIDES
-2x/-2 = 22/-2
CANCEL out: -2/-2 because it gives you 1
KEEP: 22/-2 because it help you solve for the x-value
NEW EQUATION: x = 22/-2
SIMPLIFY IT!
x = -11
Therefore, your answer is: x = -11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)