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

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

Solve for x

$x = -\frac{15}{2} = -7\frac{1}{2} = -7.5$

Steps for Solving Linear Equation

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

$$2x-12=3\times 2x+18$$

Multiply $3$ and $2$ to get $6$.

$$2x-12=6x+18$$

Subtract $6x$ from both sides.

$$2x-12-6x=18$$

Combine $2x$ and $-6x$ to get $-4x$.

$$-4x-12=18$$

Add $12$ to both sides.

$$-4x=18+12$$

Add $18$ and $12$ to get $30$.

$$-4x=30$$

Divide both sides by $-4$.

$$x=\frac{30}{-4}$$

Reduce the fraction $\frac{30}{-4}$ to lowest terms by extracting and canceling out $2$.

$$x=-\frac{15}{2}$$