Solve (x - 2)/4 + 1/3 = x - (2x - 1)/3 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

$$\frac { x - 2 } { 4 } + \frac { 1 } { 3 } = x - \frac { 2 x - 1 } { 3 }$$

Solve for x

$x=-6$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $4,3$.

$$3\left(x-2\right)+4=12x-4\left(2x-1\right)$$

Use the distributive property to multiply $3$ by $x-2$.

$$3x-6+4=12x-4\left(2x-1\right)$$

Add $-6$ and $4$ to get $-2$.

$$3x-2=12x-4\left(2x-1\right)$$

Use the distributive property to multiply $-4$ by $2x-1$.

$$3x-2=12x-8x+4$$

Combine $12x$ and $-8x$ to get $4x$.

$$3x-2=4x+4$$

Subtract $4x$ from both sides.

$$3x-2-4x=4$$

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

$$-x-2=4$$

Add $2$ to both sides.

$$-x=4+2$$

Add $4$ and $2$ to get $6$.

$$-x=6$$

Multiply both sides by $-1$.

$$x=-6$$