Solve 8 . (2x)/3 + 1 = (7x)/15 + 3 9 | 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

$$\frac { 2 x } { 3 } + 1 = \frac { 7 x } { 15 } + 3$$

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 $10$.

$$x=10$$