Solve 3(x + 6) + 2(x + 3) = 54 | 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

$$3(x+6)+2(x+3)=54$$

Solve for x

$x=6$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $x+6$.

$$3x+18+2\left(x+3\right)=54$$

Use the distributive property to multiply $2$ by $x+3$.

$$3x+18+2x+6=54$$

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

$$5x+18+6=54$$

Add $18$ and $6$ to get $24$.

$$5x+24=54$$

Subtract $24$ from both sides.

$$5x=54-24$$

Subtract $24$ from $54$ to get $30$.

$$5x=30$$

Divide both sides by $5$.

$$x=\frac{30}{5}$$

Divide $30$ by $5$ to get $6$.

$$x=6$$