Solve (2x)/3 + 1 = (7x)/15 + 5 | 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

$$\frac{2x}{3}+1=\frac{7x}{15}+5$$

Solve for x

$x=20$

Steps for Solving Linear Equation

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

$$5\times 2x+15=7x+75$$

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

$$10x+15=7x+75$$

Subtract $7x$ from both sides.

$$10x+15-7x=75$$

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

$$3x+15=75$$

Subtract $15$ from both sides.

$$3x=75-15$$

Subtract $15$ from $75$ to get $60$.

$$3x=60$$

Divide both sides by $3$.

$$x=\frac{60}{3}$$

Divide $60$ by $3$ to get $20$.

$$x=20$$