What is the answer to (2x+3)/4 =(2x-5)/6+1 ?

The answer to (2x+3)/4 =(2x-5)/6+1 is x=-7/2

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(2x+3)/4 =(2x-5)/6+1

\frac{2 x + 3}{4} = \frac{2 x - 5}{6} + 1

x = - \frac{7}{2}

Decimal Notation

x = - 3.5

Solution steps

\frac{2 x + 3}{4} = \frac{2 x - 5}{6} + 1

Multiply by LCM

3 (2 x + 3) = 2 (2 x - 5) + 12

Expand

3 (2 x + 3) : 6 x + 9

Expand

2 (2 x - 5) + 12 : 4 x + 2

6 x + 9 = 4 x + 2

Move

9

to the right side

6 x = 4 x - 7

Move

4 x

to the left side

2 x = - 7

Divide both sides by

2

x = - \frac{7}{2}

\frac{3 ^{3} \cdot 3 ^{2}}{3 ^{3}}

\frac{a ^{5}}{a ^{2}}

\frac{a ^{2} + 7 a + 10}{a ^{2} + 2 a - 15} + \frac{10}{a - 3}

75 r^{2} - 27

1 3^{2} + 1 9^{2} = x^{2}

What is the answer to (2x+3)/4 =(2x-5)/6+1 ?
The answer to (2x+3)/4 =(2x-5)/6+1 is x=-7/2
Solve for x: (2x+3)/4 =(2x-5)/6+1
The solution is x=-7/2