Solve (5x - 9)/6 = (2x - 4)/3 - (6x - 6)/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

$$\frac{5x-9}{6}=\frac{2x-4}{3}-\frac{6x-6}{2}$$

Solve for x

$x=1$

Steps for Solving Linear Equation

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

$$5x-9=2\left(2x-4\right)-3\left(6x-6\right)$$

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

$$5x-9=4x-8-3\left(6x-6\right)$$

Use the distributive property to multiply $-3$ by $6x-6$.

$$5x-9=4x-8-18x+18$$

Combine $4x$ and $-18x$ to get $-14x$.

$$5x-9=-14x-8+18$$

Add $-8$ and $18$ to get $10$.

$$5x-9=-14x+10$$

Add $14x$ to both sides.

$$5x-9+14x=10$$

Combine $5x$ and $14x$ to get $19x$.

$$19x-9=10$$

Add $9$ to both sides.

$$19x=10+9$$

Add $10$ and $9$ to get $19$.

$$19x=19$$

Divide both sides by $19$.

$$x=\frac{19}{19}$$

Divide $19$ by $19$ to get $1$.

$$x=1$$