Solve (x + 3 + 1)/2 + 1/3 = (2x + 1 + 1)/3 | 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

$$\frac{x+3+1}{2}+\frac{1}{3}=\frac{2x+1+1}{3}$$

Solve for x

$x=10$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $2,3$.

$$3\left(x+3+1\right)+2=2\left(2x+1+1\right)$$

Add $3$ and $1$ to get $4$.

$$3\left(x+4\right)+2=2\left(2x+1+1\right)$$

Use the distributive property to multiply $3$ by $x+4$.

$$3x+12+2=2\left(2x+1+1\right)$$

Add $12$ and $2$ to get $14$.

$$3x+14=2\left(2x+1+1\right)$$

Add $1$ and $1$ to get $2$.

$$3x+14=2\left(2x+2\right)$$

Use the distributive property to multiply $2$ by $2x+2$.

$$3x+14=4x+4$$

Subtract $4x$ from both sides.

$$3x+14-4x=4$$

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

$$-x+14=4$$

Subtract $14$ from both sides.

$$-x=4-14$$

Subtract $14$ from $4$ to get $-10$.

$$-x=-10$$

Multiply both sides by $-1$.

$$x=10$$