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

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

Solve for x

$x=-\frac{2}{3}\approx -0.666666667$

Steps for Solving Linear Equation

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

$$5\left(2x+1\right)=7x+3$$

Use the distributive property to multiply $5$ by $2x+1$.

$$10x+5=7x+3$$

Subtract $7x$ from both sides.

$$10x+5-7x=3$$

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

$$3x+5=3$$

Subtract $5$ from both sides.

$$3x=3-5$$

Subtract $5$ from $3$ to get $-2$.

$$3x=-2$$

Divide both sides by $3$.

$$x=\frac{-2}{3}$$

Fraction $\frac{-2}{3}$ can be rewritten as $-\frac{2}{3}$ by extracting the negative sign.

$$x=-\frac{2}{3}$$