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

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

Solve for x

$x=-20$

Steps for Solving Linear Equation

Multiply both sides of the equation by $10$, the least common multiple of $2,5$.

$$5\left(x+4\right)=-40+2x$$

Use the distributive property to multiply $5$ by $x+4$.

$$5x+20=-40+2x$$

Subtract $2x$ from both sides.

$$5x+20-2x=-40$$

Combine $5x$ and $-2x$ to get $3x$.

$$3x+20=-40$$

Subtract $20$ from both sides.

$$3x=-40-20$$

Subtract $20$ from $-40$ to get $-60$.

$$3x=-60$$

Divide both sides by $3$.

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

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

$$x=-20$$