Answer:
x = 102
Explanation:
9(x + -6) = 8(x + 6)
Reorder the terms:
9(-6 + x) = 8(x + 6)
(-6 * 9 + x * 9) = 8(x + 6)
(-54 + 9x) = 8(x + 6)
Reorder the terms:
-54 + 9x = 8(6 + x)
-54 + 9x = (6 * 8 + x * 8)
-54 + 9x = (48 + 8x)
Solving
-54 + 9x = 48 + 8x
Add '-8x' to each side of the equation.
-54 + 9x + -8x = 48 + 8x + -8x
Combine like terms: 9x + -8x = 1x
-54 + 1x = 48 + 8x + -8x
Combine like terms: 8x + -8x = 0
-54 + 1x = 48 + 0
-54 + 1x = 48
Add '54' to each side of the equation.
-54 + 54 + 1x = 48 + 54
Combine like terms: -54 + 54 = 0
0 + 1x = 48 + 54
1x = 48 + 54
Combine like terms: 48 + 54 = 102
1x = 102
Divide each side by '1'.
x = 102