Solve 3(x+4)+2(x-5)=3x+7 | 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

$$3(x+4)+2(x-5)=3x+7$$

Solve for x

$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$

Steps for Solving Linear Equation

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

$$3x+12+2\left(x-5\right)=3x+7$$

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

$$3x+12+2x-10=3x+7$$

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

$$5x+12-10=3x+7$$

Subtract $10$ from $12$ to get $2$.

$$5x+2=3x+7$$

Subtract $3x$ from both sides.

$$5x+2-3x=7$$

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

$$2x+2=7$$

Subtract $2$ from both sides.

$$2x=7-2$$

Subtract $2$ from $7$ to get $5$.

$$2x=5$$

Divide both sides by $2$.

$$x=\frac{5}{2}$$