Solve (3x)/(5)-7=(2x)/(6)+1 | 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

$$\frac{ 3x }{ 5 } -7= \frac{ 2x }{ 6 } +1$$

Solve for x

$x=30$

Steps for Solving Linear Equation

Multiply both sides of the equation by $30$, the least common multiple of $5,6$.

$$6\times 3x-210=5\times 2x+30$$

Multiply $6$ and $3$ to get $18$.

$$18x-210=5\times 2x+30$$

Multiply $5$ and $2$ to get $10$.

$$18x-210=10x+30$$

Subtract $10x$ from both sides.

$$18x-210-10x=30$$

Combine $18x$ and $-10x$ to get $8x$.

$$8x-210=30$$

Add $210$ to both sides.

$$8x=30+210$$

Add $30$ and $210$ to get $240$.

$$8x=240$$

Divide both sides by $8$.

$$x=\frac{240}{8}$$

Divide $240$ by $8$ to get $30$.

$$x=30$$