Solve (x + 12)/9 - (x - 1)/6 = (x + 1)/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

$$\frac{x+12}{9}-\frac{x-1}{6}=\frac{x+1}{3}.$$

Solve for x

$x=3$

Steps for Solving Linear Equation

Multiply both sides of the equation by $18$, the least common multiple of $9,6,3$.

$$2\left(x+12\right)-3\left(x-1\right)=6\left(x+1\right)$$

Use the distributive property to multiply $2$ by $x+12$.

$$2x+24-3\left(x-1\right)=6\left(x+1\right)$$

Use the distributive property to multiply $-3$ by $x-1$.

$$2x+24-3x+3=6\left(x+1\right)$$

Combine $2x$ and $-3x$ to get $-x$.

$$-x+24+3=6\left(x+1\right)$$

Add $24$ and $3$ to get $27$.

$$-x+27=6\left(x+1\right)$$

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

$$-x+27=6x+6$$

Subtract $6x$ from both sides.

$$-x+27-6x=6$$

Combine $-x$ and $-6x$ to get $-7x$.

$$-7x+27=6$$

Subtract $27$ from both sides.

$$-7x=6-27$$

Subtract $27$ from $6$ to get $-21$.

$$-7x=-21$$

Divide both sides by $-7$.

$$x=\frac{-21}{-7}$$

Divide $-21$ by $-7$ to get $3$.

$$x=3$$