Solve (x)/(1)-(x-1)/(2)=(1)/(1)-(x-2)/(3) | 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

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

Solve for x

$x = \frac{7}{5} = 1\frac{2}{5} = 1.4$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply $-3$ by $x-1$.

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

Combine $6x$ and $-3x$ to get $3x$.

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

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

$$3x+3=6-2x+4$$

Add $6$ and $4$ to get $10$.

$$3x+3=10-2x$$

Add $2x$ to both sides.

$$3x+3+2x=10$$

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

$$5x+3=10$$

Subtract $3$ from both sides.

$$5x=10-3$$

Subtract $3$ from $10$ to get $7$.

$$5x=7$$

Divide both sides by $5$.

$$x=\frac{7}{5}$$