2(x-4)-4(x-5)=-52

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Solution for 2(x-4)-4(x-5)=-52 equation:


Simplifying
2(x + -4) + -4(x + -5) = -52

Reorder the terms:
2(-4 + x) + -4(x + -5) = -52
(-4 * 2 + x * 2) + -4(x + -5) = -52
(-8 + 2x) + -4(x + -5) = -52

Reorder the terms:
-8 + 2x + -4(-5 + x) = -52
-8 + 2x + (-5 * -4 + x * -4) = -52
-8 + 2x + (20 + -4x) = -52

Reorder the terms:
-8 + 20 + 2x + -4x = -52

Combine like terms: -8 + 20 = 12
12 + 2x + -4x = -52

Combine like terms: 2x + -4x = -2x
12 + -2x = -52

Solving
12 + -2x = -52

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -2x = -52 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -52 + -12
-2x = -52 + -12

Combine like terms: -52 + -12 = -64
-2x = -64

Divide each side by '-2'.
x = 32

Simplifying
x = 32

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