Solve 2(x - 1) + 3(x + 2) = 19 | 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

$$2(x-1)+3(x+2)=19$$

Solve for x

$x=3$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $x-1$.

$$2x-2+3\left(x+2\right)=19$$

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

$$2x-2+3x+6=19$$

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

$$5x-2+6=19$$

Add $-2$ and $6$ to get $4$.

$$5x+4=19$$

Subtract $4$ from both sides.

$$5x=19-4$$

Subtract $4$ from $19$ to get $15$.

$$5x=15$$

Divide both sides by $5$.

$$x=\frac{15}{5}$$

Divide $15$ by $5$ to get $3$.

$$x=3$$