Solve 2(3x+7)+4=2(2x+18) | 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

$$2(3x+7)+4=2(2x+18)$$

Solve for x

$x=9$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $3x+7$.

$$6x+14+4=2\left(2x+18\right)$$

Add $14$ and $4$ to get $18$.

$$6x+18=2\left(2x+18\right)$$

Use the distributive property to multiply $2$ by $2x+18$.

$$6x+18=4x+36$$

Subtract $4x$ from both sides.

$$6x+18-4x=36$$

Combine $6x$ and $-4x$ to get $2x$.

$$2x+18=36$$

Subtract $18$ from both sides.

$$2x=36-18$$

Subtract $18$ from $36$ to get $18$.

$$2x=18$$

Divide both sides by $2$.

$$x=\frac{18}{2}$$

Divide $18$ by $2$ to get $9$.

$$x=9$$