Solve 3 i) (2x - 1)/5 = (3x - 2)/7 | 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

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

Solve for x

$x=3$

Steps for Solving Linear Equation

Multiply both sides of the equation by $35$, the least common multiple of $5,7$.

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

Use the distributive property to multiply $7$ by $2x-1$.

$$14x-7=5\left(3x-2\right)$$

Use the distributive property to multiply $5$ by $3x-2$.

$$14x-7=15x-10$$

Subtract $15x$ from both sides.

$$14x-7-15x=-10$$

Combine $14x$ and $-15x$ to get $-x$.

$$-x-7=-10$$

Add $7$ to both sides.

$$-x=-10+7$$

Add $-10$ and $7$ to get $-3$.

$$-x=-3$$

Multiply both sides by $-1$.

$$x=3$$