Question

Solve for x: 2(10-2x) = 4(3x + 1). Write your answer as a fraction.

Answer 1

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▹ Answer

x = 1

▹ Step-by-Step Explanation

2(10 - 2x) = 4(3x + 1)

Simple terms are written last:

2(-2x + 10) = 4(3x + 1)

Distributive Property:

-2 * 2x + 2 * 10 = 4 * 3x + 4

x = 1

Hope this helps!

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Answer 2

Answer:

$\boxed{x=1}$

Step-by-step explanation:

$2(10-2x) = 4(3x + 1)$

$\sf Expand \ brackets.$

$20 - 4x = 12x + 4$

$\sf Subtract \ 12x \ and \ 20 \ from \ both \ sides.$

$20 - 4x - 12x - 20 = 12x + 4 - 12x - 20$

$-16x = -16$

$\sf Divide \ both \ sides \ by \ -16.$

$\displaystyle \frac{-16x}{-16} =\frac{-16}{-16}$

$x=1$