Solve 5 (x - 3)/6 - (6x + 1)/3 = 1 | 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

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

Solve for x

$x=-1$

Steps for Solving Linear Equation

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

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

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

$$x-3-12x-2=6$$

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

$$-11x-3-2=6$$

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

$$-11x-5=6$$

Add $5$ to both sides.

$$-11x=6+5$$

Add $6$ and $5$ to get $11$.

$$-11x=11$$

Divide both sides by $-11$.

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

Divide $11$ by $-11$ to get $-1$.

$$x=-1$$