Solve 1/2 * x + 2 = 1/3 * 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

$$\frac{1}{2}x+2=\frac{1}{3}x$$

Solve for x

$x=-12$

Steps for Solving Linear Equation

Subtract $\frac{1}{3}x$ from both sides.

$$\frac{1}{2}x+2-\frac{1}{3}x=0$$

Combine $\frac{1}{2}x$ and $-\frac{1}{3}x$ to get $\frac{1}{6}x$.

$$\frac{1}{6}x+2=0$$

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

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

Multiply both sides by $6$, the reciprocal of $\frac{1}{6}$.

$$x=-2\times 6$$

Multiply $-2$ and $6$ to get $-12$.

$$x=-12$$