Solve 3+(12)/(x)=4+(7)/(x) | 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

$$3+ \frac{ 12 }{ x } =4+ \frac{ 7 }{ x }$$

Solve for x

$x=5$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $x$.

$$x\times 3+12=x\times 4+7$$

Subtract $x\times 4$ from both sides.

$$x\times 3+12-x\times 4=7$$

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

$$-x+12=7$$

Subtract $12$ from both sides.

$$-x=7-12$$

Subtract $12$ from $7$ to get $-5$.

$$-x=-5$$

Multiply both sides by $-1$.

$$x=5$$