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

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

Solve for x

$x=-30$

Steps for Solving Linear Equation

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

$$2x+2\times 3-24=3x-3\times 2+18$$

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

$$2x+6-24=3x-3\times 2+18$$

Subtract $24$ from $6$ to get $-18$.

$$2x-18=3x-3\times 2+18$$

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

$$2x-18=3x-6+18$$

Add $-6$ and $18$ to get $12$.

$$2x-18=3x+12$$

Subtract $3x$ from both sides.

$$2x-18-3x=12$$

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

$$-x-18=12$$

Add $18$ to both sides.

$$-x=12+18$$

Add $12$ and $18$ to get $30$.

$$-x=30$$

Multiply both sides by $-1$.

$$x=-30$$