Solve (x)/(7)+3=(x)/(3)-4 | 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

$$\frac{ x }{ 7 } +3= \frac{ x }{ 3 } -4$$

Solve for x

$x = \frac{147}{4} = 36\frac{3}{4} = 36.75$

Steps for Solving Linear Equation

Multiply both sides of the equation by $21$, the least common multiple of $7,3$.

$$3x+63=7x-84$$

Subtract $7x$ from both sides.

$$3x+63-7x=-84$$

Combine $3x$ and $-7x$ to get $-4x$.

$$-4x+63=-84$$

Subtract $63$ from both sides.

$$-4x=-84-63$$

Subtract $63$ from $-84$ to get $-147$.

$$-4x=-147$$

Divide both sides by $-4$.

$$x=\frac{-147}{-4}$$

Fraction $\frac{-147}{-4}$ can be simplified to $\frac{147}{4}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{147}{4}$$