please friends solve this problem
Answers
Answer:
OVERVIEW
SOLVE
QUESTION
3(9x-11)-4(x-7)=2(4-x)3(9x−11)−4(x−7)=2(4−x)
STEPS TO SOLVE
1
Distribute
{\color{#c92786}{3(9x-11)}}-4(x-7)=2(4-x)3(9x−11)−4(x−7)=2(4−x)
{\color{#c92786}{27x-33}}-4(x-7)=2(4-x)27x−33−4(x−7)=2(4−x)
2
Distribute
27x-33{\color{#c92786}{-4(x-7)}}=2(4-x)27x−33−4(x−7)=2(4−x)
27x-33{\color{#c92786}{-4x+28}}=2(4-x)27x−33−4x+28=2(4−x)
3
Add the numbers
27x{\color{#c92786}{-33}}-4x+{\color{#c92786}{28}}=2(4-x)27x−33−4x+28=2(4−x)
27x{\color{#c92786}{-5}}-4x=2(4-x)27x−5−4x=2(4−x)
4
Combine like terms
{\color{#c92786}{27x}}-5{\color{#c92786}{-4x}}=2(4-x)27x−5−4x=2(4−x)
{\color{#c92786}{23x}}-5=2(4-x)23x−5=2(4−x)
5
Rearrange terms
23x-5=2({\color{#c92786}{4-x}})23x−5=2(4−x)
23x-5=2({\color{#c92786}{-x+4}})23x−5=2(−x+4)
6
Distribute
23x-5={\color{#c92786}{2(-x+4)}}23x−5=2(−x+4)
23x-5={\color{#c92786}{-2x+8}}23x−5=−2x+8
7
Add 55 to both sides of the equation
23x-5=-2x+823x−5=−2x+8
23x-5+{\color{#c92786}{5}}=-2x+8+{\color{#c92786}{5}}23x−5+5=−2x+8+5
8
Simplify
Add the numbers
23x{\color{#c92786}{-5}}+{\color{#c92786}{5}}=-2x+8+523x−5+5=−2x+8+5
23x=-2x+8+523x=−2x+8+5
Add the numbers
23x=-2x+1323x=−2x+13
9
Add 2x2x to both sides of the equation
23x+{\color{#c92786}{2x}}=-2x+13+{\color{#c92786}{2x}}23x+2x=−2x+13+2x
10
Simplify
25x=1325x=13
11
Divide both sides of the equation by the same factor
25x=1325x=13
\frac{25x}{{\color{#c92786}{25}}}=\frac{13}{{\color{#c92786}{25}}}
25
25x
=
25
13
12
Simplify
x=\frac{13}{25}x=
25
13
SOLUTION
x=\frac{13}{25}x=
25
13
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