Solve (2x - 5)/3 - (3x - 1)/4 = 2/3 | 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

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

Solve for x

$x=-25$

Steps for Solving Linear Equation

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

$$4\left(2x-5\right)-3\left(3x-1\right)=8$$

Use the distributive property to multiply $4$ by $2x-5$.

$$8x-20-3\left(3x-1\right)=8$$

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

$$8x-20-9x+3=8$$

Combine $8x$ and $-9x$ to get $-x$.

$$-x-20+3=8$$

Add $-20$ and $3$ to get $-17$.

$$-x-17=8$$

Add $17$ to both sides.

$$-x=8+17$$

Add $8$ and $17$ to get $25$.

$$-x=25$$

Multiply both sides by $-1$.

$$x=-25$$