Question

Follow the steps to solve this equation. 3(2x + 6) – 4x = 2(5x – 2) + 6 1. Use the distributive property: 6x + 18 – 4x = 10x – 4 + 6 2. Combine like terms: 2x + 18 = 10x + 2 3. Use the subtraction property of equality: 18 = 8x + 2 4. Use the subtraction property of equality: 16 = 8x 5. Use the division property of equality:

Answer 1

Answer:

$x=2$.

Step-by-step explanation:

We have been given an equation $3(2x+6)-4x=2(5x-2)+6$. We are supposed to solve our given equation step by step.

Step 1: Use the distributive property.

$3\cdot 2x+3\cdot 6-4x=2\cdot 5x-2\cdot 2+6$

$6x+18-4x=10x-4+6$

Step 2: Combine like terms.

$6x-4x+18=10x-4+6$

$2x+18=10x+2$

Step 3: Use subtraction property of equality:

$2x-2x+18-2=10x-2x+2-2$

$16=8x$

Step 4: Use the division property of equality:

$\frac{16}{8}=\frac{8x}{8}$

$2=x$

Therefore, the solution of our given equation is $x=2$.

Answer 2

Answer:

2

Step-by-step explanation:

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