Solve 2 (x + 2)/8 - x = (x - 2)/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

$$\frac { x + 2 } { 8 } - x = \frac { x - 2 } { 4 }$$

Solve for x

$x=\frac{2}{3}\approx 0.666666667$

Steps for Solving Linear Equation

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

$$x+2-8x=2\left(x-2\right)$$

Combine $x$ and $-8x$ to get $-7x$.

$$-7x+2=2\left(x-2\right)$$

Use the distributive property to multiply $2$ by $x-2$.

$$-7x+2=2x-4$$

Subtract $2x$ from both sides.

$$-7x+2-2x=-4$$

Combine $-7x$ and $-2x$ to get $-9x$.

$$-9x+2=-4$$

Subtract $2$ from both sides.

$$-9x=-4-2$$

Subtract $2$ from $-4$ to get $-6$.

$$-9x=-6$$

Divide both sides by $-9$.

$$x=\frac{-6}{-9}$$

Reduce the fraction $\frac{-6}{-9}$ to lowest terms by extracting and canceling out $-3$.

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