Solve x/6 + (3x)/8 - 6 = x/16 - 1/4 | 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

$$\frac{x}{6}+\frac{3x}{8}-6=\frac{x}{16}-\frac{1}{4}$$

Solve for x

$x=12$

Steps for Solving Linear Equation

Multiply both sides of the equation by $48$, the least common multiple of $6,8,16,4$.

$$8x+6\times 3x-288=3x-12$$

Multiply $6$ and $3$ to get $18$.

$$8x+18x-288=3x-12$$

Combine $8x$ and $18x$ to get $26x$.

$$26x-288=3x-12$$

Subtract $3x$ from both sides.

$$26x-288-3x=-12$$

Combine $26x$ and $-3x$ to get $23x$.

$$23x-288=-12$$

Add $288$ to both sides.

$$23x=-12+288$$

Add $-12$ and $288$ to get $276$.

$$23x=276$$

Divide both sides by $23$.

$$x=\frac{276}{23}$$

Divide $276$ by $23$ to get $12$.

$$x=12$$