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Popular >

3x=(2x-1)(m+4)

Solution

3 x = (2 x - 1) (m + 4)

Solution

x = - \frac{- m - 4}{5 + 2 m}; m \neq = - \frac{5}{2}

Solution steps

3 x = (2 x - 1) (m + 4)

Expand

(2 x - 1) (m + 4) : 2 m x + 8 x - m - 4

3 x = 2 m x + 8 x - m - 4

Subtract

2 m x + 8 x

from both sides

3 x - (2 m x + 8 x) = 2 m x + 8 x - m - 4 - (2 m x + 8 x)

Simplify

- 2 m x - 5 x = - m - 4

Factor

- 2 m x - 5 x : - x (2 m + 5)

- x (2 m + 5) = - m - 4

Divide both sides by

- (2 m + 5); m \neq = - \frac{5}{2}

x = - \frac{- m - 4}{5 + 2 m}; m \neq = - \frac{5}{2}

Popular Examples

2 x + 5 = - x - 4

\frac{1}{6} x - 2 = - \frac{x}{3}

x-(-2x-2.3)+5.1=x

x - (- 2 x - 2.3) + 5.1 = x

f = 3 - 2

2 x + 2 x - 6 = 3 x + 5

Frequently Asked Questions (FAQ)

What is the answer to 3x=(2x-1)(m+4) ?
The answer to 3x=(2x-1)(m+4) is x=-(-m-4)/(5+2m);\quad m\ne-5/2