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

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

Solve for x

$x=-1$

Steps for Solving Linear Equation

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

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

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

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

Add $2$ and $6$ to get $8$.

$$12x+8=x-3$$

Subtract $x$ from both sides.

$$12x+8-x=-3$$

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

$$11x+8=-3$$

Subtract $8$ from both sides.

$$11x=-3-8$$

Subtract $8$ from $-3$ to get $-11$.

$$11x=-11$$

Divide both sides by $11$.

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

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

$$x=-1$$