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

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

Solve for x

$x = -\frac{30}{11} = -2\frac{8}{11} \approx -2.727272727$

Steps for Solving Linear Equation

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

$$5\times 2x+15=3\times 7x+45$$

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

$$10x+15=3\times 7x+45$$

Multiply $3$ and $7$ to get $21$.

$$10x+15=21x+45$$

Subtract $21x$ from both sides.

$$10x+15-21x=45$$

Combine $10x$ and $-21x$ to get $-11x$.

$$-11x+15=45$$

Subtract $15$ from both sides.

$$-11x=45-15$$

Subtract $15$ from $45$ to get $30$.

$$-11x=30$$

Divide both sides by $-11$.

$$x=\frac{30}{-11}$$

Fraction $\frac{30}{-11}$ can be rewritten as $-\frac{30}{11}$ by extracting the negative sign.

$$x=-\frac{30}{11}$$