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

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


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

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

Reorder the terms:
2 + 2x + -3(2 + 2x) = 100
2 + 2x + (2 * -3 + 2x * -3) = 100
2 + 2x + (-6 + -6x) = 100

Reorder the terms:
2 + -6 + 2x + -6x = 100

Combine like terms: 2 + -6 = -4
-4 + 2x + -6x = 100

Combine like terms: 2x + -6x = -4x
-4 + -4x = 100

Solving
-4 + -4x = 100

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + -4x = 100 + 4

Combine like terms: -4 + 4 = 0
0 + -4x = 100 + 4
-4x = 100 + 4

Combine like terms: 100 + 4 = 104
-4x = 104

Divide each side by '-4'.
x = -26

Simplifying
x = -26

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