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

The answer to (3x+6)/4 =(4x-3)/5 is x=42

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

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

x = 42

Solution steps

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(3 x + 6) \cdot 5 = 4 (4 x - 3)

Expand

(3 x + 6) \cdot 5 : 15 x + 30

Expand

4 (4 x - 3) : 16 x - 12

15 x + 30 = 16 x - 12

Move

30

to the right side

15 x = 16 x - 42

Move

16 x

to the left side

- x = - 42

Divide both sides by

- 1

x = 42

110 = 450 + 0.5 (110 - 100) - 50 r + 600 - 100 r + 100

(3 x + 1) (2 x - 1) \leq 3 + x

2 (5 - x) + 4 < 3 x - 6 - 2 (x + 7)

\frac{10}{( - \frac{6}{11} )}

\frac{2}{1 - \frac{1}{5}}

What is the answer to (3x+6)/4 =(4x-3)/5 ?
The answer to (3x+6)/4 =(4x-3)/5 is x=42
Solve for x: (3x+6)/4 =(4x-3)/5
The solution is x=42