Question

5x-6(x-5)=2(x+5)+5(x-4)


need answer.. step by step plz​

Answer 1

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Answer 2

1

Distribute

5−6(−5)=2(+5)+5(−4)

5x{\color{#c92786}{-6(x-5)}}=2(x+5)+5(x-4)5x−6(x−5)=2(x+5)+5(x−4)

5−6+30=2(+5)+5(−4)

5x{\color{#c92786}{-6x+30}}=2(x+5)+5(x-4)5x−6x+30=2(x+5)+5(x−4)

2

Combine like terms

5−6+30=2(+5)+5(−4)

{\color{#c92786}{5x}}{\color{#c92786}{-6x}}+30=2(x+5)+5(x-4)5x−6x+30=2(x+5)+5(x−4)

−+30=2(+5)+5(−4)

{\color{#c92786}{-x}}+30=2(x+5)+5(x-4)−x+30=2(x+5)+5(x−4)

3

Distribute

−+30=2(+5)+5(−4)

-x+30={\color{#c92786}{2(x+5)}}+5(x-4)−x+30=2(x+5)+5(x−4)

−+30=2+10+5(−4)

-x+30={\color{#c92786}{2x+10}}+5(x-4)−x+30=2x+10+5(x−4)

4

Distribute

−+30=2+10+5(−4)

-x+30=2x+10+{\color{#c92786}{5(x-4)}}−x+30=2x+10+5(x−4)

−+30=2+10+5−20

-x+30=2x+10+{\color{#c92786}{5x-20}}−x+30=2x+10+5x−20

5

Subtract the numbers

−+30=2+10+5−20

-x+30=2x+{\color{#c92786}{10}}+5x{\color{#c92786}{-20}}−x+30=2x+10+5x−20

−+30=2−10+5

-x+30=2x{\color{#c92786}{-10}}+5x−x+30=2x−10+5x

6

Combine like terms

−+30=2−10+5

-x+30={\color{#c92786}{2x}}-10+{\color{#c92786}{5x}}−x+30=2x−10+5x

−+30=7−10

-x+30={\color{#c92786}{7x}}-10−x+30=7x−10

7

Subtract 

30

3030

 from both sides of the equation

−+30=7−10

-x+30=7x-10−x+30=7x−10

−+30−30=7−10−30

-x+30{\color{#c92786}{-30}}=7x-10{\color{#c92786}{-30}}−x+30−30=7x−10−30

8

Simplify

Subtract the numbers

Subtract the numbers

−=7−40

-x=7x-40−x=7x−40

9

Subtract 

7

7x7x

 from both sides of the equation

−=7−40

-x=7x-40−x=7x−40

−−7=7−40−7

-x{\color{#c92786}{-7x}}=7x-40{\color{#c92786}{-7x}}−x−7x=7x−40−7x

10

Simplify

Combine like terms

Combine like terms

−8=−40

Divide both sides of the equation by the same term

−8=−40

-8x=-40−8x=−40

−8−8=−40−8

\frac{-8x}{{\color{#c92786}{-8}}}=\frac{-40}{{\color{#c92786}{-8}}}−8−8x=−8−40

12

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=−40−8

x={\color{#c92786}{\frac{-40}{-8}}}x=−8−40

=5

x={\color{#c92786}{5}}x=5

=5