Solve (x)/(3)+4=(x)/(2)+3(1)/(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

$$\frac{ x }{ 3 } +4= \frac{ x }{ 2 } +3 \frac{ 1 }{ 2 }$$

Solve for x

$x=3$

Steps for Solving Linear Equation

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

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

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

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

Add $6$ and $1$ to get $7$.

$$2x+24=3x+3\times 7$$

Multiply $3$ and $7$ to get $21$.

$$2x+24=3x+21$$

Subtract $3x$ from both sides.

$$2x+24-3x=21$$

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

$$-x+24=21$$

Subtract $24$ from both sides.

$$-x=21-24$$

Subtract $24$ from $21$ to get $-3$.

$$-x=-3$$

Multiply both sides by $-1$.

$$x=3$$