Question

subtraction property of equality, division property of equality, multiplication property of equality, combine like terms, addition property of equality, distributive property, 4x = 2 - 4(2 - 3x), property, step 1, 4x = 2 - 8 + 12x, drag and drop an item here, step 2, 4x = -6 + 12x, drag and drop an item here, step 3, -8x = -6, drag and drop an item here, step 4, x = 3/4, drag and drop an item here

Explanation:

Step1: Apply distributive property

$4x = 2-4(2 - 3x)$ becomes $4x=2-8 + 12x$ by distributing - 4 to 2 and - 3x.

Step2: Combine like - terms

Combine the constant terms 2 and - 8 on the right - hand side. So, $2-8=-6$ and we get $4x=-6 + 12x$.

Step3: Use subtraction property of equality

Subtract 12x from both sides: $4x-12x=-6+12x - 12x$, which simplifies to $-8x=-6$.

Step4: Use division property of equality

Divide both sides by - 8: $x=\frac{-6}{-8}=\frac{3}{4}$.

Answer:

Step 1: Distributive Property
Step 2: Combine Like Terms
Step 3: Subtraction Property of Equality
Step 4: Division Property of Equality