Solve (4x-4)/(2)=(3x-6)/(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

$$\frac{ 4x-4 }{ 2 } = \frac{ 3x-6 }{ 3 }$$

Solve for x

$x=0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $2,3$.

$$3\left(4x-4\right)=2\left(3x-6\right)$$

Use the distributive property to multiply $3$ by $4x-4$.

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

Use the distributive property to multiply $2$ by $3x-6$.

$$12x-12=6x-12$$

Subtract $6x$ from both sides.

$$12x-12-6x=-12$$

Combine $12x$ and $-6x$ to get $6x$.

$$6x-12=-12$$

Add $12$ to both sides.

$$6x=-12+12$$

Add $-12$ and $12$ to get $0$.

$$6x=0$$

Product of two numbers is equal to $0$ if at least one of them is $0$. Since $6$ is not equal to $0$, $x$ must be equal to $0$.

$$x=0$$