What is the answer to (4x+1)/2 =(8x+3)/3 ?

The answer to (4x+1)/2 =(8x+3)/3 is x=-3/4

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(4x+1)/2 =(8x+3)/3

\frac{4 x + 1}{2} = \frac{8 x + 3}{3}

x = - \frac{3}{4}

Decimal Notation

x = - 0.75

Solution steps

\frac{4 x + 1}{2} = \frac{8 x + 3}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(4 x + 1) \cdot 3 = 2 (8 x + 3)

Expand

(4 x + 1) \cdot 3 : 12 x + 3

Expand

2 (8 x + 3) : 16 x + 6

12 x + 3 = 16 x + 6

Move

3

to the right side

12 x = 16 x + 3

Move

16 x

to the left side

- 4 x = 3

Divide both sides by

- 4

x = - \frac{3}{4}

\frac{( x + h ) ^{2} - x ^{2}}{h}

∣ 2 x + 7 ∣ \geq 5

f (a) = \frac{4 a ^{2} - 36}{24 - 8 a}

(\frac{5}{2})^{2} + 1

- 18 = - 6 y

What is the answer to (4x+1)/2 =(8x+3)/3 ?
The answer to (4x+1)/2 =(8x+3)/3 is x=-3/4
Solve for x: (4x+1)/2 =(8x+3)/3
The solution is x=-3/4