Solve 4(2x + 10) = 40(x + 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

$$4(2x+10)=40(x+6)$$

Solve for x

$x = -\frac{25}{4} = -6\frac{1}{4} = -6.25$

Steps for Solving Linear Equation

Use the distributive property to multiply $4$ by $2x+10$.

$$8x+40=40\left(x+6\right)$$

Use the distributive property to multiply $40$ by $x+6$.

$$8x+40=40x+240$$

Subtract $40x$ from both sides.

$$8x+40-40x=240$$

Combine $8x$ and $-40x$ to get $-32x$.

$$-32x+40=240$$

Subtract $40$ from both sides.

$$-32x=240-40$$

Subtract $40$ from $240$ to get $200$.

$$-32x=200$$

Divide both sides by $-32$.

$$x=\frac{200}{-32}$$

Reduce the fraction $\frac{200}{-32}$ to lowest terms by extracting and canceling out $8$.

$$x=-\frac{25}{4}$$