3x+1÷6+2x-3÷7=x+3÷8+3x-1÷14 verify this
Answers
Subtract the numbers
3
+
1
6
+
2
−
3
7
=
+
3
8
+
3
+
−
1
1
4
3x+{\color{#c92786}{\frac{1}{6}}}+2x{\color{#c92786}{-\frac{3}{7}}}=x+\frac{3}{8}+3x+\frac{-1}{14}
3
−
1
1
4
2
+
2
=
+
3
8
+
3
+
−
1
1
4
3x{\color{#c92786}{-\frac{11}{42}}}+2x=x+\frac{3}{8}+3x+\frac{-1}{14}
2
Combine like terms
3
−
1
1
4
2
+
2
=
+
3
8
+
3
+
−
1
1
4
{\color{#c92786}{3x}}-\frac{11}{42}+{\color{#c92786}{2x}}=x+\frac{3}{8}+3x+\frac{-1}{14}
5
−
1
1
4
2
=
+
3
8
+
3
+
−
1
1
4
{\color{#c92786}{5x}}-\frac{11}{42}=x+\frac{3}{8}+3x+\frac{-1}{14}
3
Subtract the numbers
5
−
1
1
4
2
=
+
3
8
+
3
−
1
1
4
5x-\frac{11}{42}=x+{\color{#c92786}{\frac{3}{8}}}+3x{\color{#c92786}{-\frac{1}{14}}}
5
−
1
1
4
2
=
+
1
7
5
6
+
3
5x-\frac{11}{42}=x+{\color{#c92786}{\frac{17}{56}}}+3x
4
Combine like terms
5
−
1
1
4
2
=
+
1
7
5
6
+
3
5x-\frac{11}{42}={\color{#c92786}{x}}+\frac{17}{56}+{\color{#c92786}{3x}}
5
−
1
1
4
2
=
4
+
1
7
5
6
5x-\frac{11}{42}={\color{#c92786}{4x}}+\frac{17}{56}
5
Add
1
1
4
2
\frac{11}{42}
to both sides of the equation
5
−
1
1
4
2
=
4
+
1
7
5
6
5x-\frac{11}{42}=4x+\frac{17}{56}
5
−
1
1
4
2
+
1
1
4
2
=
4
+
1
7
5
6
+
1
1
4
2
5x-\frac{11}{42}+{\color{#c92786}{\frac{11}{42}}}=4x+\frac{17}{56}+{\color{#c92786}{\frac{11}{42}}}
6
Simplify
Add the numbers
Add the numbers
5
=
4
+
9
5
1
6
8
5x=4x+\frac{95}{168}
7
Subtract
4
4x
from both sides of the equation
5
=
4
+
9
5
1
6
8
5x=4x+\frac{95}{168}
5
−
4
=
4
+
9
5
1
6
8
−
4
5x{\color{#c92786}{-4x}}=4x+\frac{95}{168}{\color{#c92786}{-4x}}
8
Simplify
Combine like terms
Multiply by 1
Combine like terms
=
9
5
1
6
8
x=\frac{95}{168}
Show less
Solution
=
9
5
1
6
8
x = 5
Step-by-step explanation:
(3x+1)/16+ (2x-3)/7 = (x+3)/8+ (3 x-1)/14
21 x +7+32 x - 48/112= 7x +21+12 x -4/56 53 x-41/112= 19 x + 17/56
= (2:1) ] [(112:56)
53 x - 41 = 38 x + 34 53 x-38 x = 34 + 41
15 x = 75 x = 75/15
x = 5