-7(x + 9) = 9(x - 5) - 14x Show work to prove your answer!

Solve for x!

−7(x+9)=9(x−5)−14x

(−7)(x)+(−7)(9)=(9)(x)+(9)(−5)+−14x(Distribute)

−7x+−63=9x+−45+−14x

−7x−63=(9x+−14x)+(−45)(Combine Like Terms)

−7x−63=−5x+−45

−7x−63=−5x−45

Step 2: Add 5x to both sides.

−7x−63+5x=−5x−45+5x

−2x−63=−45

Step 3: Add 63 to both sides.

−2x−63+63=−45+63

−2x=18

Step 4: Divide both sides by -2.

−2x

−2

=

18

−2

x=−9

x=−9

Step-by-step explanation:  hope that helped :)

x = -9  I used

Step 1: Simplify both sides of the equation.

−7(x+9)=9(x−5)−14x

(−7)(x)+(−7)(9)=(9)(x)+(9)(−5)+−14x(Distribute)

−7x+−63=9x+−45+−14x

−7x−63=(9x+−14x)+(−45)(Combine Like Terms)

−7x−63=−5x+−45

−7x−63=−5x−45

Step 2: Add 5x to both sides.

−7x−63+5x=−5x−45+5x

−2x−63=−45

Step 3: Add 63 to both sides.

−2x−63+63=−45+63

−2x=18

Step 4: Divide both sides by -2.

−2x

−2

=

18

−2

x=−9

no, because the sides are not congruent

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.