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

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

Solve for x

$x=-\frac{26}{43}\approx -0.604651163$

Steps for Solving Linear Equation

Use the distributive property to multiply $8$ by $6x+2$.

$$48x+16=5\left(x-2\right)$$

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

$$48x+16=5x-10$$

Subtract $5x$ from both sides.

$$48x+16-5x=-10$$

Combine $48x$ and $-5x$ to get $43x$.

$$43x+16=-10$$

Subtract $16$ from both sides.

$$43x=-10-16$$

Subtract $16$ from $-10$ to get $-26$.

$$43x=-26$$

Divide both sides by $43$.

$$x=\frac{-26}{43}$$

Fraction $\frac{-26}{43}$ can be rewritten as $-\frac{26}{43}$ by extracting the negative sign.

$$x=-\frac{26}{43}$$