Solve (2)/(3)x=(3)/(4)x-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

$$\frac{ 2 }{ 3 } x= \frac{ 3 }{ 4 } x-5$$

Solve for x

$x=60$

Steps for Solving Linear Equation

Subtract $\frac{3}{4}x$ from both sides.

$$\frac{2}{3}x-\frac{3}{4}x=-5$$

Combine $\frac{2}{3}x$ and $-\frac{3}{4}x$ to get $-\frac{1}{12}x$.

$$-\frac{1}{12}x=-5$$

Multiply both sides by $-12$, the reciprocal of $-\frac{1}{12}$.

$$x=-5\left(-12\right)$$

Multiply $-5$ and $-12$ to get $60$.

$$x=60$$