Solve 5 . (2x + 5)/3 = (4x - 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

$$\frac { 2 x + 5 } { 3 } = \frac { 4 x - 1 } { 2 }$$

Solve for x

$x = \frac{13}{8} = 1\frac{5}{8} = 1.625$

Steps for Solving Linear Equation

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

$$2\left(2x+5\right)=3\left(4x-1\right)$$

Use the distributive property to multiply $2$ by $2x+5$.

$$4x+10=3\left(4x-1\right)$$

Use the distributive property to multiply $3$ by $4x-1$.

$$4x+10=12x-3$$

Subtract $12x$ from both sides.

$$4x+10-12x=-3$$

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

$$-8x+10=-3$$

Subtract $10$ from both sides.

$$-8x=-3-10$$

Subtract $10$ from $-3$ to get $-13$.

$$-8x=-13$$

Divide both sides by $-8$.

$$x=\frac{-13}{-8}$$

Fraction $\frac{-13}{-8}$ can be simplified to $\frac{13}{8}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{13}{8}$$