solve 2(x-3)=3/5(x+4)
Answers
2
(
−
3
)
=
3
5
(
+
4
)
2(x-3)=\frac{3}{5}(x+4)
2(x−3)=53(x+4)
Solve
1
Distribute
2
(
−
3
)
=
3
5
(
+
4
)
{\color{#c92786}{2(x-3)}}=\frac{3}{5}(x+4)
2(x−3)=53(x+4)
2
−
6
=
3
5
(
+
4
)
{\color{#c92786}{2x-6}}=\frac{3}{5}(x+4)
2x−6=53(x+4)
2
Combine multiplied terms into a single fraction
2
−
6
=
3
5
(
+
4
)
2x-6=\frac{3}{5}(x+4)
2x−6=53(x+4)
2
−
6
=
3
(
+
4
)
5
2x-6=\frac{3(x+4)}{5}
2x−6=53(x+4)
3
Distribute
2
−
6
=
3
(
+
4
)
5
2x-6=\frac{{\color{#c92786}{3(x+4)}}}{5}
2x−6=53(x+4)
2
−
6
=
3
+
1
2
5
2x-6=\frac{{\color{#c92786}{3x+12}}}{5}
2x−6=53x+12
4
Add
6
6
6
to both sides of the equation
2
−
6
=
3
+
1
2
5
2x-6=\frac{3x+12}{5}
2x−6=53x+12
2
−
6
+
6
=
3
+
1
2
5
+
6
2x-6+{\color{#c92786}{6}}=\frac{3x+12}{5}+{\color{#c92786}{6}}
2x−6+6=53x+12+6
5
Simplify
Add the numbers
2
=
3
+
1
2
5
+
6
2x=\frac{3x+12}{5}+6
2x=53x+12+6
6
Multiply all terms by the same value to eliminate fraction denominators
2
=
3
+
1
2
5
+
6
2x=\frac{3x+12}{5}+6
2x=53x+12+6
5
⋅
2
=
5
(
3
+
1
2
5
+
6
)
5 \cdot 2x=5(\frac{3x+12}{5}+6)
5⋅2x=5(53x+12+6)
7
Cancel multiplied terms that are in the denominator
5
⋅
2
=
5
(
3
+
1
2
5
)
+
5
⋅
6
5 \cdot 2x=5(\frac{3x+12}{5})+5 \cdot 6
5⋅2x=5(53x+12)+5⋅6
5
⋅
2
=
3
+
1
2
+
5
⋅
6
5 \cdot 2x=3x+12+5 \cdot 6
5⋅2x=3x+12+5⋅6
8
Multiply the numbers
5
⋅
2
=
3
+
1
2
+
5
⋅
6
{\color{#c92786}{5}} \cdot {\color{#c92786}{2}}x=3x+12+5 \cdot 6
5⋅2x=3x+12+5⋅6
1
0
=
3
+
1
2
+
5
⋅
6
{\color{#c92786}{10}}x=3x+12+5 \cdot 6
10x=3x+12+5⋅6
9
Multiply the numbers
1
0
=
3
+
1
2
+
5
⋅
6
10x=3x+12+{\color{#c92786}{5}} \cdot {\color{#c92786}{6}}
10x=3x+12+5⋅6
1
0
=
3
+
1
2
+
3
0
10x=3x+12+{\color{#c92786}{30}}
10x=3x+12+30
10
Add the numbers
1
0
=
3
+
1
2
+
3
0
10x=3x+{\color{#c92786}{12}}+{\color{#c92786}{30}}
10x=3x+12+30
1
0
=
3
+
4
2
10x=3x+{\color{#c92786}{42}}
10x=3x+42
11
Subtract
3
3x
3x
from both sides of the equation
1
0
=
3
+
4
2
10x=3x+42
10x=3x+42
1
0
−
3
=
3
+
4
2
−
3
10x{\color{#c92786}{-3x}}=3x+42{\color{#c92786}{-3x}}
10x−3x=3x+42−3x
12
Simplify
Combine like terms
Combine like terms
7
=
4
2
7x=42
7x=42
13
Divide both sides of the equation by the same term
7
=
4
2
7x=42
7x=42
7
7
=
4
2
7
\frac{7x}{{\color{#c92786}{7}}}=\frac{42}{{\color{#c92786}{7}}}
77x=742
14
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
6
x=6
x=6
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Solution
=
6
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