Solve d) (x + 1)/2 = (2x - 1)/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

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

Solve for x

$x=5$

Steps for Solving Linear Equation

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

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

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

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

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

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

Subtract $4x$ from both sides.

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

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

$$-x+3=-2$$

Subtract $3$ from both sides.

$$-x=-2-3$$

Subtract $3$ from $-2$ to get $-5$.

$$-x=-5$$

Multiply both sides by $-1$.

$$x=5$$