Solve 5(2x + 6) = 38 - 2(5x - 6) | 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

$$5(2x+6)=38-2(5x-6)$$

Solve for x

$x=1$

Steps for Solving Linear Equation

Use the distributive property to multiply $5$ by $2x+6$.

$$10x+30=38-2\left(5x-6\right)$$

Use the distributive property to multiply $-2$ by $5x-6$.

$$10x+30=38-10x+12$$

Add $38$ and $12$ to get $50$.

$$10x+30=50-10x$$

Add $10x$ to both sides.

$$10x+30+10x=50$$

Combine $10x$ and $10x$ to get $20x$.

$$20x+30=50$$

Subtract $30$ from both sides.

$$20x=50-30$$

Subtract $30$ from $50$ to get $20$.

$$20x=20$$

Divide both sides by $20$.

$$x=\frac{20}{20}$$

Divide $20$ by $20$ to get $1$.

$$x=1$$