Solve 3 - (x + 1)/5 = 2 - (x - 1)/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

$$3-\frac{x+1}{5}=2-\frac{x-1}{4}$$

Solve for x

$x=-11$

Steps for Solving Linear Equation

Multiply both sides of the equation by $20$, the least common multiple of $5,4$.

$$60-4\left(x+1\right)=40-5\left(x-1\right)$$

Use the distributive property to multiply $-4$ by $x+1$.

$$60-4x-4=40-5\left(x-1\right)$$

Subtract $4$ from $60$ to get $56$.

$$56-4x=40-5\left(x-1\right)$$

Use the distributive property to multiply $-5$ by $x-1$.

$$56-4x=40-5x+5$$

Add $40$ and $5$ to get $45$.

$$56-4x=45-5x$$

Add $5x$ to both sides.

$$56-4x+5x=45$$

Combine $-4x$ and $5x$ to get $x$.

$$56+x=45$$

Subtract $56$ from both sides.

$$x=45-56$$

Subtract $56$ from $45$ to get $-11$.

$$x=-11$$