2x-4(x-5)=-2+4x+10

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Solution for 2x-4(x-5)=-2+4x+10 equation: 


Simplifying
2x + -4(x + -5) = -2 + 4x + 10

Reorder the terms:
2x + -4(-5 + x) = -2 + 4x + 10
2x + (-5 * -4 + x * -4) = -2 + 4x + 10
2x + (20 + -4x) = -2 + 4x + 10

Reorder the terms:
20 + 2x + -4x = -2 + 4x + 10

Combine like terms: 2x + -4x = -2x
20 + -2x = -2 + 4x + 10

Reorder the terms:
20 + -2x = -2 + 10 + 4x

Combine like terms: -2 + 10 = 8
20 + -2x = 8 + 4x

Solving
20 + -2x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
20 + -2x + -4x = 8 + 4x + -4x

Combine like terms: -2x + -4x = -6x
20 + -6x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -6x = 8 + 0
20 + -6x = 8

Add '-20' to each side of the equation.
20 + -20 + -6x = 8 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = 8 + -20
-6x = 8 + -20

Combine like terms: 8 + -20 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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