Solve (2x + 1)/4 - (3x - 2)/7 = 1/2 | 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

$$\frac{2x+1}{4}-\frac{3x-2}{7}=\frac{1}{2}$$

Solve for x

$x=-\frac{1}{2}=-0.5$

Steps for Solving Linear Equation

Multiply both sides of the equation by $28$, the least common multiple of $4,7,2$.

$$7\left(2x+1\right)-4\left(3x-2\right)=14$$

Use the distributive property to multiply $7$ by $2x+1$.

$$14x+7-4\left(3x-2\right)=14$$

Use the distributive property to multiply $-4$ by $3x-2$.

$$14x+7-12x+8=14$$

Combine $14x$ and $-12x$ to get $2x$.

$$2x+7+8=14$$

Add $7$ and $8$ to get $15$.

$$2x+15=14$$

Subtract $15$ from both sides.

$$2x=14-15$$

Subtract $15$ from $14$ to get $-1$.

$$2x=-1$$

Divide both sides by $2$.

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

Fraction $\frac{-1}{2}$ can be rewritten as $-\frac{1}{2}$ by extracting the negative sign.

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