Solve (2x)/5 + 2 = (3x - 5)/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

$$\frac{2x}{5}+2=\frac{3x-5}{2}$$

Solve for x

$x = \frac{45}{11} = 4\frac{1}{11} \approx 4.090909091$

Steps for Solving Linear Equation

Multiply both sides of the equation by $10$, the least common multiple of $5,2$.

$$2\times 2x+20=5\left(3x-5\right)$$

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

$$4x+20=5\left(3x-5\right)$$

Use the distributive property to multiply $5$ by $3x-5$.

$$4x+20=15x-25$$

Subtract $15x$ from both sides.

$$4x+20-15x=-25$$

Combine $4x$ and $-15x$ to get $-11x$.

$$-11x+20=-25$$

Subtract $20$ from both sides.

$$-11x=-25-20$$

Subtract $20$ from $-25$ to get $-45$.

$$-11x=-45$$

Divide both sides by $-11$.

$$x=\frac{-45}{-11}$$

Fraction $\frac{-45}{-11}$ can be simplified to $\frac{45}{11}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{45}{11}$$