Solve 8(x + 40) = 1.5(2x + 8) | 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

$$8(x+40)=1.5(2x+8)$$

Solve for x

$x=-61.6$

Steps for Solving Linear Equation

Use the distributive property to multiply $8$ by $x+40$.

$$8x+320=1.5\left(2x+8\right)$$

Use the distributive property to multiply $1.5$ by $2x+8$.

$$8x+320=3x+12$$

Subtract $3x$ from both sides.

$$8x+320-3x=12$$

Combine $8x$ and $-3x$ to get $5x$.

$$5x+320=12$$

Subtract $320$ from both sides.

$$5x=12-320$$

Subtract $320$ from $12$ to get $-308$.

$$5x=-308$$

Divide both sides by $5$.

$$x=\frac{-308}{5}$$

Fraction $\frac{-308}{5}$ can be rewritten as $-\frac{308}{5}$ by extracting the negative sign.

$$x=-\frac{308}{5}$$