2(4x-1)=-100(x-3)+4

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Solution for 2(4x-1)=-100(x-3)+4 equation:


Simplifying
2(4x + -1) = -100(x + -3) + 4

Reorder the terms:
2(-1 + 4x) = -100(x + -3) + 4
(-1 * 2 + 4x * 2) = -100(x + -3) + 4
(-2 + 8x) = -100(x + -3) + 4

Reorder the terms:
-2 + 8x = -100(-3 + x) + 4
-2 + 8x = (-3 * -100 + x * -100) + 4
-2 + 8x = (300 + -100x) + 4

Reorder the terms:
-2 + 8x = 300 + 4 + -100x

Combine like terms: 300 + 4 = 304
-2 + 8x = 304 + -100x

Solving
-2 + 8x = 304 + -100x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '100x' to each side of the equation.
-2 + 8x + 100x = 304 + -100x + 100x

Combine like terms: 8x + 100x = 108x
-2 + 108x = 304 + -100x + 100x

Combine like terms: -100x + 100x = 0
-2 + 108x = 304 + 0
-2 + 108x = 304

Add '2' to each side of the equation.
-2 + 2 + 108x = 304 + 2

Combine like terms: -2 + 2 = 0
0 + 108x = 304 + 2
108x = 304 + 2

Combine like terms: 304 + 2 = 306
108x = 306

Divide each side by '108'.
x = 2.833333333

Simplifying
x = 2.833333333

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