linear equation of 2x-3/6 - x-5/2 = x/6
Answers
Divide the numbers
2
−
1
⋅
3
6
−
−
1
⋅
5
2
=
6
2x-1 \cdot {\color{#c92786}{\frac{3}{6}}}-x-1 \cdot \frac{5}{2}=\frac{x}{6}
2
−
1
⋅
1
2
−
−
1
⋅
5
2
=
6
2x-1 \cdot {\color{#c92786}{\frac{1}{2}}}-x-1 \cdot \frac{5}{2}=\frac{x}{6}
2
Multiply the numbers
2
−
1
⋅
1
2
−
−
1
⋅
5
2
=
6
2x{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{1}{2}}}-x-1 \cdot \frac{5}{2}=\frac{x}{6}
2
−
1
2
−
−
1
⋅
5
2
=
6
2x{\color{#c92786}{-\frac{1}{2}}}-x-1 \cdot \frac{5}{2}=\frac{x}{6}
3
Multiply the numbers
2
−
1
2
−
−
1
⋅
5
2
=
6
2x-\frac{1}{2}-x{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{5}{2}}}=\frac{x}{6}
2
−
1
2
−
−
5
2
=
6
2x-\frac{1}{2}-x{\color{#c92786}{-\frac{5}{2}}}=\frac{x}{6}
4
Subtract the numbers
2
−
1
2
−
−
5
2
=
6
2x{\color{#c92786}{-\frac{1}{2}}}-x{\color{#c92786}{-\frac{5}{2}}}=\frac{x}{6}
2
−
3
−
=
6
2x{\color{#c92786}{-3}}-x=\frac{x}{6}
5
Combine like terms
2
−
3
−
=
6
{\color{#c92786}{2x}}-3{\color{#c92786}{-x}}=\frac{x}{6}
1
−
3
=
6
{\color{#c92786}{1x}}-3=\frac{x}{6}
6
Multiply by 1
1
−
3
=
6
1x-3=\frac{x}{6}
−
3
=
6
x-3=\frac{x}{6}
7
Add
3
3
to both sides of the equation
−
3
=
6
x-3=\frac{x}{6}
−
3
+
3
=
6
+
3
x-3+{\color{#c92786}{3}}=\frac{x}{6}+{\color{#c92786}{3}}
8
Simplify
Add the numbers
Find common denominator
Combine fractions with common denominator
Multiply the numbers
=
+
1
8
6
x=\frac{x+18}{6}
9
Multiply all terms by the same value to eliminate fraction denominators
=
+
1
8
6
x=\frac{x+18}{6}
6
=
6
⋅
+
1
8
6
6x=6 \cdot \frac{x+18}{6}
10
Cancel multiplied terms that are in the denominator
6
=
6
⋅
+
1
8
6
6x=6 \cdot \frac{x+18}{6}
6
=
+
1
8
6x=x+18
11
Subtract
x
from both sides of the equation
6
=
+
1
8
6x=x+18
6
−
=
+
1
8
−
6x{\color{#c92786}{-x}}=x+18{\color{#c92786}{-x}}
12
Simplify
Combine like terms
Combine like terms
5
=
1
8
5x=18
13
Divide both sides of the equation by the same term
5
=
1
8
5x=18
5
5
=
1
8
5
\frac{5x}{{\color{#c92786}{5}}}=\frac{18}{{\color{#c92786}{5}}}
14
Simplify
Cancel terms that are in both the numerator and denominator
=
1
8
5
x=\frac{18}{5}
Solution
=
1
8
5
hope it helps you