solve 5x-7/3x=2 and check
Answers
Solve
1.Multiply the numbers
2.Combine multiplied terms into a single fraction
5−73=2
5x-\frac{7}{3}x=2
5x−37x=2
5+-73=2
5x+\frac{-7x}{3}=2
5x+3−7x=2
3.Find common denominator
5+−73=2
5x+\frac{-7x}{3}=2
5x+3−7x=2
3/53+−73=2
\frac{3 \cdot 5x}{3}+\frac{-7x}{3}=2
33⋅5x+3−7x=2
4.Combine fractions with common denominator
3/53+−73=2
\frac{3 \cdot 5x}{3}+\frac{-7x}{3}=2
33⋅5x+3−7x=2
3/5−73=2
\frac{3 \cdot 5x-7x}{3}=2
33⋅5x−7x=2
5 .Multiply the numbers
3/5−73=2
\frac{{\color{#c92786}{3}} \cdot {\color{#c92786}{5}}x-7x}{3}=2
33⋅5x−7x=2
1/5−73=2
\frac{{\color{#c92786}{15}}x-7x}{3}=2
315x−7x=2/6
6.Combine like terms
1/5−73=2
\frac{{\color{#c92786}{15x}}{\color{#c92786}{-7x}}}{3}=2
315x−7x=2
83=2
\frac{{\color{#c92786}{8x}}}{3}=2
38x=2/7
7.Multiply all terms by the same value to eliminate fraction denominators
83=2
\frac{8x}{3}=2
38x=2
3/83=3/2
3 \cdot \frac{8x}{3}=3 \cdot 2
3⋅38x=3⋅2
8.Cancel multiplied terms that are in the denominator
3/8
3=× 3/2
3 \cdot \frac{8x}{3}=3 \cdot 2
3⋅38x=3⋅2
8=3⋅/2
8x=3 \cdot 2
8x=3⋅2
9.Multiply the numbers
8=3/⋅2.
8x={\color{#c92786}{3}} \cdot {\color{#c92786}{2}}
8x=3⋅2
8=6
8x={\color{#c92786}{6}}
8x=6
10. Divide both sides of the equation by the same term
8=6
8x=6
8x=6
88=6
Sovle... (8=3/4)