What is the answer to 1/2 (4x+5)=9x-12(x-1) ?

The answer to 1/2 (4x+5)=9x-12(x-1) is x= 19/10

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1/2 (4x+5)=9x-12(x-1)

\frac{1}{2} (4 x + 5) = 9 x - 12 (x - 1)

x = \frac{19}{10}

Decimal Notation

x = 1.9

Solution steps

\frac{1}{2} (4 x + 5) = 9 x - 12 (x - 1)

Expand

- 12 (x - 1) : - 12 x + 12

2 x + \frac{5}{2} = 9 x - 12 x + 12

Add similar elements:

9 x - 12 x = - 3 x

2 x + \frac{5}{2} = - 3 x + 12

Expand

\frac{1}{2} (4 x + 5) : 2 x + \frac{5}{2}

2 x + \frac{5}{2} = - 3 x + 12

Move

\frac{5}{2}

to the right side

2 x = - 3 x + \frac{19}{2}

Move

3 x

to the left side

5 x = \frac{19}{2}

Divide both sides by

5

x = \frac{19}{10}

- 3 = - 3 (2 t - 1)

\frac{1}{2} x + 2 = 1

\frac{x - 5}{2} = \frac{x - 1}{3}

5 x - 4 = 4 x

- 6 x - 13 = - x - 23

What is the answer to 1/2 (4x+5)=9x-12(x-1) ?
The answer to 1/2 (4x+5)=9x-12(x-1) is x= 19/10
Solve for x: 1/2 (4x+5)=9x-12(x-1)
The solution is x= 19/10