Question

Part 1: Find the solution to the equation 64(2 – x) = 44x. (4 points)

Part 2: Using complete sentences, explain the procedure used to solve this equation. (4 points)

Answer 1

x=128/108

Answer 2

\[64(2-x)=44x\]first simplify by dividing both sides by their common factor (which is 4)
\[16(2-x)=11x\]then expand the bracketed expression on the left
\[32-16x=11x\]then you need to place all terms with x on one side and all constants on the other side. so we simply move the -16x from the left-hand-side to the right-hand-side thereby changing its sign
\[32=11x+16x=27x\]now divide both sides by 27 to get an expression for x
\[\frac{32}{27}=x\]re-write in standard form with the subject on the left
\[x=\frac{32}{27}\]

Answer 3

128-64x=44x, 128=108x, x=128/108, x=32/27

Answer 4

Thank you