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IrinaK [193]
3 years ago
6

Solve the equation -5(x-2)=-(x+6)

Mathematics
2 answers:
Tems11 [23]3 years ago
6 0

Steps to solve:

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

~Simplify both sides

-5x + 10 = -x - 6

~Subtract 10 to both sides

-5x = -x - 16

~Add x to both sides

-4x = -16

~Divide -4 to both sides

x = 4

Best Of Luck!

AnnZ [28]3 years ago
3 0

Answer:

\huge{ \bold{ \huge{ \boxed{ \sf{x = 4}}}}}

Step-by-step explanation:

\sf{ - 5(x - 2) =  - (x + 6)}

Distribute -5 through the parentheses in left hand side

Similarly, distribute ( - ) sign through the parentheses in right hand side

\longrightarrow{ \sf{ - 5x + 10 =  - x  - 6}}

Move x to left hand hand side and change it's sign

Similarly, move 10 to right hand side and change it's sign

\longrightarrow{ \sf{ - 5x + x =  - 6 - 10}}

Collect like terms

\longrightarrow{ \sf{ - 4x =  - 6 - 10}}

The negative integers are always added but posses the negative ( - ) sign

\longrightarrow{ \sf{ - 4x =  - 16}}

Divide both sides by -4

\longrightarrow{ \sf{ \frac{ - 4x}{ - 4}  =  \frac{ - 16}{ - 4}}}

Calculate

\longrightarrow{ \sf{x = 4}}

Hope I helped!

Best regards! :D

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