5(7x+5/3) -23/3=13-4x-2/3
Answers
Answer:
5(7x+5/3)-23/3=13-4x-2/3
5(7+53)+−233=13−4+−23
{\color{#c92786}{5(7x+\frac{5}{3})}}+\frac{-23}{3}=13-4x+\frac{-2}{3}
35+253+−233=13−4+−23
{\color{#c92786}{35x+\frac{25}{3}}}+\frac{-23}{3}=13-4x+\frac{-2}{3}
2
Subtract the numbers
35+253−233=13−4+−23
35x+{\color{#c92786}{\frac{25}{3}}}{\color{#c92786}{-\frac{23}{3}}}=13-4x+\frac{-2}{3}
35+23=13−4+−23
35x+{\color{#c92786}{\frac{2}{3}}}=13-4x+\frac{-2}{3}
3
Subtract the numbers
35+23=13−4−23
35x+\frac{2}{3}={\color{#c92786}{13}}-4x{\color{#c92786}{-\frac{2}{3}}}
35+23=373−4
35x+\frac{2}{3}={\color{#c92786}{\frac{37}{3}}}-4x
4
Rearrange terms
35+23=373−4
35x+\frac{2}{3}={\color{#c92786}{\frac{37}{3}-4x}}
35+23=−4+373
35x+\frac{2}{3}={\color{#c92786}{-4x+\frac{37}{3}}}
5
Subtract
23
\frac{2}{3}
from both sides of the equation
35+23=−4+373
35x+\frac{2}{3}=-4x+\frac{37}{3}
35+23−23=−4+373−23
35x+\frac{2}{3}{\color{#c92786}{-\frac{2}{3}}}=-4x+\frac{37}{3}{\color{#c92786}{-\frac{2}{3}}}
6
Simplify
Subtract the numbers
Subtract the numbers
35=−4+353
35x=-4x+\frac{35}{3}
7
Add
4
4x
to both sides of the equation
35=−4+353
35x=-4x+\frac{35}{3}
35+4=−4+353+4
35x+{\color{#c92786}{4x}}=-4x+\frac{35}{3}+{\color{#c92786}{4x}}
8
Simplify
Combine like terms
Combine like terms
39=353
39x=\frac{35}{3}
9
Divide both sides of the equation by the same term
39=353
39x=\frac{35}{3}
3939=35339
\frac{39x}{{\color{#c92786}{39}}}=\frac{\frac{35}{3}}{{\color{#c92786}{39}}}
10
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=35117