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

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

Solve for x

$x = -\frac{15}{4} = -3\frac{3}{4} = -3.75$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $3,2,4$.

$$4\times 2x-6=12x+9$$

Multiply $4$ and $2$ to get $8$.

$$8x-6=12x+9$$

Subtract $12x$ from both sides.

$$8x-6-12x=9$$

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

$$-4x-6=9$$

Add $6$ to both sides.

$$-4x=9+6$$

Add $9$ and $6$ to get $15$.

$$-4x=15$$

Divide both sides by $-4$.

$$x=\frac{15}{-4}$$

Fraction $\frac{15}{-4}$ can be rewritten as $-\frac{15}{4}$ by extracting the negative sign.

$$x=-\frac{15}{4}$$