Solve (3x + 2)/(2x(3)) = 2 | 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

$$\frac{3x+2}{2x(+3)}=2$$

Solve for x

$x=\frac{2}{9}\approx 0.222222222$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $6x$.

$$3x+2=12x$$

Subtract $12x$ from both sides.

$$3x+2-12x=0$$

Combine $3x$ and $-12x$ to get $-9x$.

$$-9x+2=0$$

Subtract $2$ from both sides. Anything subtracted from zero gives its negation.

$$-9x=-2$$

Divide both sides by $-9$.

$$x=\frac{-2}{-9}$$

Fraction $\frac{-2}{-9}$ can be simplified to $\frac{2}{9}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{2}{9}$$