3(x-2)-(3-4x)=10000

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Solution for 3(x-2)-(3-4x)=10000 equation: 


Simplifying
3(x + -2) + -1(3 + -4x) = 10000

Reorder the terms:
3(-2 + x) + -1(3 + -4x) = 10000
(-2 * 3 + x * 3) + -1(3 + -4x) = 10000
(-6 + 3x) + -1(3 + -4x) = 10000
-6 + 3x + (3 * -1 + -4x * -1) = 10000
-6 + 3x + (-3 + 4x) = 10000

Reorder the terms:
-6 + -3 + 3x + 4x = 10000

Combine like terms: -6 + -3 = -9
-9 + 3x + 4x = 10000

Combine like terms: 3x + 4x = 7x
-9 + 7x = 10000

Solving
-9 + 7x = 10000

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 7x = 10000 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 10000 + 9
7x = 10000 + 9

Combine like terms: 10000 + 9 = 10009
7x = 10009

Divide each side by '7'.
x = 1429.857143

Simplifying
x = 1429.857143

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