What is the answer to 3/4 (12x-9)+b/4 =5-3(2-3x) ?

The answer to 3/4 (12x-9)+b/4 =5-3(2-3x) is True for all x;\quad 0=-1+(-b+27)/4

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3/4 (12x-9)+b/4 =5-3(2-3x)

\frac{3}{4} (12 x - 9) + \frac{b}{4} = 5 - 3 (2 - 3 x)

True for all x; 0 = - 1 + \frac{- b + 27}{4}

Solution steps

\frac{3}{4} (12 x - 9) + \frac{b}{4} = 5 - 3 (2 - 3 x)

Expand

\frac{3}{4} (12 x - 9) + \frac{b}{4} : 9 x - \frac{27}{4} + \frac{b}{4}

Expand

5 - 3 (2 - 3 x) : 9 x - 1

9 x - \frac{27}{4} + \frac{b}{4} = 9 x - 1

Move

\frac{b}{4}

to the right side

9 x - \frac{27}{4} = 9 x - 1 - \frac{b}{4}

Move

\frac{27}{4}

to the right side

9 x = 9 x - 1 + \frac{- b + 27}{4}

Move

9 x

to the left side

0 = - 1 + \frac{- b + 27}{4}

Both sides are equal

True for all x; 0 = - 1 + \frac{- b + 27}{4}

x, x - 2 y = 10

P, A = P + Pt

x, x - 3 y = 9

\frac{x}{2} + \frac{x}{3} + \frac{x}{6} = 3

x, 2 x + 3 y = 2

What is the answer to 3/4 (12x-9)+b/4 =5-3(2-3x) ?
The answer to 3/4 (12x-9)+b/4 =5-3(2-3x) is True for all x;\quad 0=-1+(-b+27)/4