Question

Simplify the following algebraic expressions.

1) -2x + 5 + 10x - 9

3)(x + 7) + 2(-x + 4) + 5x

Answer 1

Answer:

Subtract the numbers

−

2

+

5

+

1

0

−

9

-2x+{\color{#c92786}{5}}+10x{\color{#c92786}{-9}}

−2x+5+10x−9

−

2

−

4

+

1

0

-2x{\color{#c92786}{-4}}+10x

−2x−4+10x

2

Combine like terms

−

2

−

4

+

1

0

{\color{#c92786}{-2x}}-4+{\color{#c92786}{10x}}

−2x−4+10x

8

−

4

{\color{#c92786}{8x}}-4

8x−4

Solution

8

−

4

Answer 2

1) -2x + 5 + 10x - 9

   = (-2x + 10x) + (5 - 9)

   = 8x + (-4)

   = 8x - 4

3) (x + 7) +2(-x + 4) + 5x

   = x + 7 + (-2x) + 8 + 5x

  = x + 7 - 2x + 8 + 5x

  =  (x - 2x + 5x) + (7 + 8)

  = 4x + 15