Solve (4x+1)/(2x-5)=-9....x= | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{ 4x+1 }{ 2x-5 } =-9....x=$$

Solve for x

$x=2$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $\frac{5}{2}$ since division by zero is not defined. Multiply both sides of the equation by $2x-5$.

$$4x+1=-9\left(2x-5\right)$$

Use the distributive property to multiply $-9$ by $2x-5$.

$$4x+1=-18x+45$$

Add $18x$ to both sides.

$$4x+1+18x=45$$

Combine $4x$ and $18x$ to get $22x$.

$$22x+1=45$$

Subtract $1$ from both sides.

$$22x=45-1$$

Subtract $1$ from $45$ to get $44$.

$$22x=44$$

Divide both sides by $22$.

$$x=\frac{44}{22}$$

Divide $44$ by $22$ to get $2$.

$$x=2$$