Solve 2(x + 5) - 8(x - 6) = 10 | 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

$$2(x+5)-8(x-6)=10$$

Solve for x

$x=8$

Steps for Solving Linear Equation

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

$$2x+10-8\left(x-6\right)=10$$

Use the distributive property to multiply $-8$ by $x-6$.

$$2x+10-8x+48=10$$

Combine $2x$ and $-8x$ to get $-6x$.

$$-6x+10+48=10$$

Add $10$ and $48$ to get $58$.

$$-6x+58=10$$

Subtract $58$ from both sides.

$$-6x=10-58$$

Subtract $58$ from $10$ to get $-48$.

$$-6x=-48$$

Divide both sides by $-6$.

$$x=\frac{-48}{-6}$$

Divide $-48$ by $-6$ to get $8$.

$$x=8$$