Hey there!
8(2x - 4) - 3x > 5x + 6 - x
DISTRIBUTE 8 WITHIN the PARENTHESES
8(2x) + 8(-4) - 3x > 5x + 6 - x
16x - 32 - 3x > 5x + 6 - 1x
13x - 32 > 4x + 6
SUBTRACT 4x to BOTH SIDES
13x - 32 - 4x > 4x + 6 - 4x
SIMPLIFY IT!
9x - 32 > 6
ADD 32 to BOTH SIDES
9x - 32 + 32 > 6 + 32
CANCEL out: -32 + 32 because it gives you 1
KEEP: 6 + 32 because it helps solve for the x-value
NEW EQUATION: 9x > 6 + 32
SIMPLIFY IT!
9x > 38
DIVIDE 9 to BOTH SIDES
9x/9 > 38/9
CANCEL out: 9/9 because it gives you 1
KEEP: 38/9 because it helps solve for the x-value
NEW EQUATION:
x > 38/9 ≈ x > 4.222222222222222
SIMPLIFY IT!
Therefore, your answer is: x > 38/9
(IT IS AN OPEN CIRCLE SHADED TO THE RIGHT)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)