2x+3(x-2)-3(x-6)=100

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Solution for 2x+3(x-2)-3(x-6)=100 equation:


Simplifying
2x + 3(x + -2) + -3(x + -6) = 100

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

Reorder the terms:
2x + -6 + 3x + -3(-6 + x) = 100
2x + -6 + 3x + (-6 * -3 + x * -3) = 100
2x + -6 + 3x + (18 + -3x) = 100

Reorder the terms:
-6 + 18 + 2x + 3x + -3x = 100

Combine like terms: -6 + 18 = 12
12 + 2x + 3x + -3x = 100

Combine like terms: 2x + 3x = 5x
12 + 5x + -3x = 100

Combine like terms: 5x + -3x = 2x
12 + 2x = 100

Solving
12 + 2x = 100

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 2x = 100 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 100 + -12
2x = 100 + -12

Combine like terms: 100 + -12 = 88
2x = 88

Divide each side by '2'.
x = 44

Simplifying
x = 44

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