Solve x-(x+2)/(12)=(5x)/(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

$$x- \frac{ x+2 }{ 12 } = \frac{ 5x }{ 2 }$$

Solve for x

$x=-\frac{2}{19}\approx -0.105263158$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $12,2$.

$$12x-\left(x+2\right)=6\times 5x$$

To find the opposite of $x+2$, find the opposite of each term.

$$12x-x-2=6\times 5x$$

Combine $12x$ and $-x$ to get $11x$.

$$11x-2=6\times 5x$$

Multiply $6$ and $5$ to get $30$.

$$11x-2=30x$$

Subtract $30x$ from both sides.

$$11x-2-30x=0$$

Combine $11x$ and $-30x$ to get $-19x$.

$$-19x-2=0$$

Add $2$ to both sides. Anything plus zero gives itself.

$$-19x=2$$

Divide both sides by $-19$.

$$x=\frac{2}{-19}$$

Fraction $\frac{2}{-19}$ can be rewritten as $-\frac{2}{19}$ by extracting the negative sign.

$$x=-\frac{2}{19}$$