Solve x/3+3/3-4=x/4-2/4+2 | 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

$$x/3+3/3-4=x/4-2/4+2$$

Solve for x

$x=54$

Steps for Solving Linear Equation

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

$$4x+4\times 3-48=3x-3\times 2+24$$

Multiply $4$ and $3$ to get $12$.

$$4x+12-48=3x-3\times 2+24$$

Subtract $48$ from $12$ to get $-36$.

$$4x-36=3x-3\times 2+24$$

Multiply $-3$ and $2$ to get $-6$.

$$4x-36=3x-6+24$$

Add $-6$ and $24$ to get $18$.

$$4x-36=3x+18$$

Subtract $3x$ from both sides.

$$4x-36-3x=18$$

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

$$x-36=18$$

Add $36$ to both sides.

$$x=18+36$$

Add $18$ and $36$ to get $54$.

$$x=54$$