2x-4(x-2)=-9+2x+1

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Solution for 2x-4(x-2)=-9+2x+1 equation: 


Simplifying
2x + -4(x + -2) = -9 + 2x + 1

Reorder the terms:
2x + -4(-2 + x) = -9 + 2x + 1
2x + (-2 * -4 + x * -4) = -9 + 2x + 1
2x + (8 + -4x) = -9 + 2x + 1

Reorder the terms:
8 + 2x + -4x = -9 + 2x + 1

Combine like terms: 2x + -4x = -2x
8 + -2x = -9 + 2x + 1

Reorder the terms:
8 + -2x = -9 + 1 + 2x

Combine like terms: -9 + 1 = -8
8 + -2x = -8 + 2x

Solving
8 + -2x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + -2x + -2x = -8 + 2x + -2x

Combine like terms: -2x + -2x = -4x
8 + -4x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -4x = -8 + 0
8 + -4x = -8

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

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

Combine like terms: -8 + -8 = -16
-4x = -16

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

Simplifying
x = 4

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