Solve (x - 1)/3 - (x + 3)/4 = - 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

$$\frac{x-1}{3}-\frac{x+3}{4}=-1$$

Solve for x

$x=1$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $3,4$.

$$4\left(x-1\right)-3\left(x+3\right)=-12$$

Use the distributive property to multiply $4$ by $x-1$.

$$4x-4-3\left(x+3\right)=-12$$

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

$$4x-4-3x-9=-12$$

Combine $4x$ and $-3x$ to get $x$.

$$x-4-9=-12$$

Subtract $9$ from $-4$ to get $-13$.

$$x-13=-12$$

Add $13$ to both sides.

$$x=-12+13$$

Add $-12$ and $13$ to get $1$.

$$x=1$$