2-4(x-5)=6+4x-10

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Solution for 2-4(x-5)=6+4x-10 equation: 


Simplifying
2 + -4(x + -5) = 6 + 4x + -10

Reorder the terms:
2 + -4(-5 + x) = 6 + 4x + -10
2 + (-5 * -4 + x * -4) = 6 + 4x + -10
2 + (20 + -4x) = 6 + 4x + -10

Combine like terms: 2 + 20 = 22
22 + -4x = 6 + 4x + -10

Reorder the terms:
22 + -4x = 6 + -10 + 4x

Combine like terms: 6 + -10 = -4
22 + -4x = -4 + 4x

Solving
22 + -4x = -4 + 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.
22 + -4x + -4x = -4 + 4x + -4x

Combine like terms: -4x + -4x = -8x
22 + -8x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + -8x = -4 + 0
22 + -8x = -4

Add '-22' to each side of the equation.
22 + -22 + -8x = -4 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = -4 + -22
-8x = -4 + -22

Combine like terms: -4 + -22 = -26
-8x = -26

Divide each side by '-8'.
x = 3.25

Simplifying
x = 3.25

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