Solve (3x + 1)/2 + (2x + 5)/3 = 26 | 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

$$\frac{(3x+1)}{2}+\frac{(2x+5)}{3}=26$$

Solve for x

$x=11$

Steps for Solving Linear Equation

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

$$3\left(3x+1\right)+2\left(2x+5\right)=156$$

Use the distributive property to multiply $3$ by $3x+1$.

$$9x+3+2\left(2x+5\right)=156$$

Use the distributive property to multiply $2$ by $2x+5$.

$$9x+3+4x+10=156$$

Combine $9x$ and $4x$ to get $13x$.

$$13x+3+10=156$$

Add $3$ and $10$ to get $13$.

$$13x+13=156$$

Subtract $13$ from both sides.

$$13x=156-13$$

Subtract $13$ from $156$ to get $143$.

$$13x=143$$

Divide both sides by $13$.

$$x=\frac{143}{13}$$

Divide $143$ by $13$ to get $11$.

$$x=11$$