Solve ( xviii ) x/3 + x/2 = 3x + 14 H | 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

$$\frac { x } { 3 } + \frac { x } { 2 } = 3 x + 14$$

Solve for x

$x = -\frac{84}{13} = -6\frac{6}{13} \approx -6.461538462$

Steps for Solving Linear Equation

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

$$2x+3x=18x+84$$

Combine $2x$ and $3x$ to get $5x$.

$$5x=18x+84$$

Subtract $18x$ from both sides.

$$5x-18x=84$$

Combine $5x$ and $-18x$ to get $-13x$.

$$-13x=84$$

Divide both sides by $-13$.

$$x=\frac{84}{-13}$$

Fraction $\frac{84}{-13}$ can be rewritten as $-\frac{84}{13}$ by extracting the negative sign.

$$x=-\frac{84}{13}$$