Solve (e) 3.2(2 - x) = 0.8(2x - 4) | 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

$$3.2 ( 2 - x ) = 0.8 ( 2 x - 4 )$$

Solve for x

$x=2$

Steps for Solving Linear Equation

Use the distributive property to multiply $3.2$ by $2-x$.

$$6.4-3.2x=0.8\left(2x-4\right)$$

Use the distributive property to multiply $0.8$ by $2x-4$.

$$6.4-3.2x=1.6x-3.2$$

Subtract $1.6x$ from both sides.

$$6.4-3.2x-1.6x=-3.2$$

Combine $-3.2x$ and $-1.6x$ to get $-4.8x$.

$$6.4-4.8x=-3.2$$

Subtract $6.4$ from both sides.

$$-4.8x=-3.2-6.4$$

Subtract $6.4$ from $-3.2$ to get $-9.6$.

$$-4.8x=-9.6$$

Divide both sides by $-4.8$.

$$x=\frac{-9.6}{-4.8}$$

Expand $\frac{-9.6}{-4.8}$ by multiplying both numerator and the denominator by $10$.

$$x=\frac{-96}{-48}$$

Divide $-96$ by $-48$ to get $2$.

$$x=2$$