Solve (x)/(3)-1=(2x)/(5)-7 | 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

$$\frac{ x }{ 3 } -1= \frac{ 2x }{ 5 } -7$$

Solve for x

$x=90$

Steps for Solving Linear Equation

Multiply both sides of the equation by $15$, the least common multiple of $3,5$.

$$5x-15=3\times 2x-105$$

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

$$5x-15=6x-105$$

Subtract $6x$ from both sides.

$$5x-15-6x=-105$$

Combine $5x$ and $-6x$ to get $-x$.

$$-x-15=-105$$

Add $15$ to both sides.

$$-x=-105+15$$

Add $-105$ and $15$ to get $-90$.

$$-x=-90$$

Multiply both sides by $-1$.

$$x=90$$