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

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

Solve for x

$x=6$

Steps for Solving Linear Equation

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

$$2\times 2x-30=6x-3\times 3x+12$$

Multiply $2$ and $2$ to get $4$.

$$4x-30=6x-3\times 3x+12$$

Multiply $-3$ and $3$ to get $-9$.

$$4x-30=6x-9x+12$$

Combine $6x$ and $-9x$ to get $-3x$.

$$4x-30=-3x+12$$

Add $3x$ to both sides.

$$4x-30+3x=12$$

Combine $4x$ and $3x$ to get $7x$.

$$7x-30=12$$

Add $30$ to both sides.

$$7x=12+30$$

Add $12$ and $30$ to get $42$.

$$7x=42$$

Divide both sides by $7$.

$$x=\frac{42}{7}$$

Divide $42$ by $7$ to get $6$.

$$x=6$$