2(x-9)-6(x+7)=100

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Solution for 2(x-9)-6(x+7)=100 equation: 


Simplifying
2(x + -9) + -6(x + 7) = 100

Reorder the terms:
2(-9 + x) + -6(x + 7) = 100
(-9 * 2 + x * 2) + -6(x + 7) = 100
(-18 + 2x) + -6(x + 7) = 100

Reorder the terms:
-18 + 2x + -6(7 + x) = 100
-18 + 2x + (7 * -6 + x * -6) = 100
-18 + 2x + (-42 + -6x) = 100

Reorder the terms:
-18 + -42 + 2x + -6x = 100

Combine like terms: -18 + -42 = -60
-60 + 2x + -6x = 100

Combine like terms: 2x + -6x = -4x
-60 + -4x = 100

Solving
-60 + -4x = 100

Solving for variable 'x'.

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

Add '60' to each side of the equation.
-60 + 60 + -4x = 100 + 60

Combine like terms: -60 + 60 = 0
0 + -4x = 100 + 60
-4x = 100 + 60

Combine like terms: 100 + 60 = 160
-4x = 160

Divide each side by '-4'.
x = -40

Simplifying
x = -40

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