-2(-2x-1)=-10-10(x-11)

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Solution for -2(-2x-1)=-10-10(x-11) equation:


Simplifying
-2(-2x + -1) = -10 + -10(x + -11)

Reorder the terms:
-2(-1 + -2x) = -10 + -10(x + -11)
(-1 * -2 + -2x * -2) = -10 + -10(x + -11)
(2 + 4x) = -10 + -10(x + -11)

Reorder the terms:
2 + 4x = -10 + -10(-11 + x)
2 + 4x = -10 + (-11 * -10 + x * -10)
2 + 4x = -10 + (110 + -10x)

Combine like terms: -10 + 110 = 100
2 + 4x = 100 + -10x

Solving
2 + 4x = 100 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
2 + 4x + 10x = 100 + -10x + 10x

Combine like terms: 4x + 10x = 14x
2 + 14x = 100 + -10x + 10x

Combine like terms: -10x + 10x = 0
2 + 14x = 100 + 0
2 + 14x = 100

Add '-2' to each side of the equation.
2 + -2 + 14x = 100 + -2

Combine like terms: 2 + -2 = 0
0 + 14x = 100 + -2
14x = 100 + -2

Combine like terms: 100 + -2 = 98
14x = 98

Divide each side by '14'.
x = 7

Simplifying
x = 7

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