Solve (6x + 1)/3 = (x - 3)/6 | 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

$$\frac{6x+1}{3}=\frac{x-3}{6}$$

Solve for x

$x=-\frac{5}{11}\approx -0.454545455$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $3,6$.

$$2\left(6x+1\right)=x-3$$

Use the distributive property to multiply $2$ by $6x+1$.

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

Subtract $x$ from both sides.

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

Combine $12x$ and $-x$ to get $11x$.

$$11x+2=-3$$

Subtract $2$ from both sides.

$$11x=-3-2$$

Subtract $2$ from $-3$ to get $-5$.

$$11x=-5$$

Divide both sides by $11$.

$$x=\frac{-5}{11}$$

Fraction $\frac{-5}{11}$ can be rewritten as $-\frac{5}{11}$ by extracting the negative sign.

$$x=-\frac{5}{11}$$