2x-3(2x+1)=-8x-11

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Solution for 2x-3(2x+1)=-8x-11 equation:


Simplifying
2x + -3(2x + 1) = -8x + -11

Reorder the terms:
2x + -3(1 + 2x) = -8x + -11
2x + (1 * -3 + 2x * -3) = -8x + -11
2x + (-3 + -6x) = -8x + -11

Reorder the terms:
-3 + 2x + -6x = -8x + -11

Combine like terms: 2x + -6x = -4x
-3 + -4x = -8x + -11

Reorder the terms:
-3 + -4x = -11 + -8x

Solving
-3 + -4x = -11 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-3 + -4x + 8x = -11 + -8x + 8x

Combine like terms: -4x + 8x = 4x
-3 + 4x = -11 + -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + 4x = -11 + 0
-3 + 4x = -11

Add '3' to each side of the equation.
-3 + 3 + 4x = -11 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = -11 + 3
4x = -11 + 3

Combine like terms: -11 + 3 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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