2(x-5)-4(2x-2)=36

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Solution for 2(x-5)-4(2x-2)=36 equation: 


Simplifying
2(x + -5) + -4(2x + -2) = 36

Reorder the terms:
2(-5 + x) + -4(2x + -2) = 36
(-5 * 2 + x * 2) + -4(2x + -2) = 36
(-10 + 2x) + -4(2x + -2) = 36

Reorder the terms:
-10 + 2x + -4(-2 + 2x) = 36
-10 + 2x + (-2 * -4 + 2x * -4) = 36
-10 + 2x + (8 + -8x) = 36

Reorder the terms:
-10 + 8 + 2x + -8x = 36

Combine like terms: -10 + 8 = -2
-2 + 2x + -8x = 36

Combine like terms: 2x + -8x = -6x
-2 + -6x = 36

Solving
-2 + -6x = 36

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -6x = 36 + 2

Combine like terms: -2 + 2 = 0
0 + -6x = 36 + 2
-6x = 36 + 2

Combine like terms: 36 + 2 = 38
-6x = 38

Divide each side by '-6'.
x = -6.333333333

Simplifying
x = -6.333333333

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