Solve x/2 - 1 = 2/3 * x - 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

$$\frac { x } { 2 } - 1 = \frac { 2 } { 3 } x - 2$$

Solve for x

$x=6$

Steps for Solving Linear Equation

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

$$3x-6=4x-12$$

Subtract $4x$ from both sides.

$$3x-6-4x=-12$$

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

$$-x-6=-12$$

Add $6$ to both sides.

$$-x=-12+6$$

Add $-12$ and $6$ to get $-6$.

$$-x=-6$$

Multiply both sides by $-1$.

$$x=6$$