How to solve 2x/3+1=7x/15+3

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 2x/3+1=7x/15+3 | Equatix

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Question

$$2x/3+1=7x/15+3$$

Solve for x

$x=10$

Steps for Solving Linear Equation

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

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

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

$$10x+15=7x+45$$

Subtract $7x$ from both sides.

$$10x+15-7x=45$$

Combine $10x$ and $-7x$ to get $3x$.

$$3x+15=45$$

Subtract $15$ from both sides.

$$3x=45-15$$

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

$$3x=30$$

Divide both sides by $3$.

$$x=\frac{30}{3}$$

Divide $30$ by $3$ to get $10$.

$$x=10$$

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Question

Solve for x

Steps for Solving Linear Equation