What is the answer to (2x+7)/3 =(4x+5)/2 ?

The answer to (2x+7)/3 =(4x+5)/2 is x=-1/8

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(2x+7)/3 =(4x+5)/2

\frac{2 x + 7}{3} = \frac{4 x + 5}{2}

x = - \frac{1}{8}

Decimal Notation

x = - 0.125

Solution steps

\frac{2 x + 7}{3} = \frac{4 x + 5}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x + 7) \cdot 2 = 3 (4 x + 5)

Expand

(2 x + 7) \cdot 2 : 4 x + 14

Expand

3 (4 x + 5) : 12 x + 15

4 x + 14 = 12 x + 15

Move

14

to the right side

4 x = 12 x + 1

Move

12 x

to the left side

- 8 x = 1

Divide both sides by

- 8

x = - \frac{1}{8}

10 x + 4 x y - 18 x y^{2}

\frac{- 4 + y}{6} = - 3

x^{3} + 4 x - 5

\frac{x}{9} = \frac{8}{12}

2 (4 - 2 x) + 2 (2 x - 4) \geq 2 x

What is the answer to (2x+7)/3 =(4x+5)/2 ?
The answer to (2x+7)/3 =(4x+5)/2 is x=-1/8
Solve for x: (2x+7)/3 =(4x+5)/2
The solution is x=-1/8