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

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

Solve for x

$x=9$

Steps for Solving Linear Equation

Multiply both sides of the equation by $20$, the least common multiple of $4,5$.

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

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

$$5x+15=4\left(2x-3\right)$$

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

$$5x+15=8x-12$$

Subtract $8x$ from both sides.

$$5x+15-8x=-12$$

Combine $5x$ and $-8x$ to get $-3x$.

$$-3x+15=-12$$

Subtract $15$ from both sides.

$$-3x=-12-15$$

Subtract $15$ from $-12$ to get $-27$.

$$-3x=-27$$

Divide both sides by $-3$.

$$x=\frac{-27}{-3}$$

Divide $-27$ by $-3$ to get $9$.

$$x=9$$