Solve for \( x \):

\[ 0.4(2x + \frac{1}{2}) = 3(0.2x + (-2)) - 4 \]

So,
0.4(2x + 1/2) = 3(.2x + -2) - 4
Distribute 0.8x + .2 = .6x + -6 - 4
Collect Like Terms
0.8x + .2 = 0.6x - 10
Get rid of the smaller placeholder (add -0.6x to both sides) 0.2x + .2 = -10
Subtract 0.2 from both sides 0.2x = -10.2
Divide both sides by 0.2 x = -51

Answered by SchwarzschildRadius | 2024-06-10

0.4(2x+1/2) = 3(0.2x+(-2))-4 0.4(2x+1/2) = 3(0.2x-2)-4
Now, we need to use distributive property 0.8x+0.2 = 0.6x-6-4 0.8x+0.2 = 0.6x-10 0.8x-0.6x+0.2 = -10 0.2x+0.2 = -10 0.2x = -0.2-10 0.2x = -10.2 x = -10.2/0.2 x = -51
Therefore, x = -51

Answered by lekhagummalla | 2024-06-10

To solve the equation, first distribute and simplify both sides. After rearranging and isolating x, you find that x equals -51. Therefore, the solution is x = − 51 .
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Answered by SchwarzschildRadius | 2024-12-26