4(x-8)-2(x-5)=-52

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Solution for 4(x-8)-2(x-5)=-52 equation: 


Simplifying
4(x + -8) + -2(x + -5) = -52

Reorder the terms:
4(-8 + x) + -2(x + -5) = -52
(-8 * 4 + x * 4) + -2(x + -5) = -52
(-32 + 4x) + -2(x + -5) = -52

Reorder the terms:
-32 + 4x + -2(-5 + x) = -52
-32 + 4x + (-5 * -2 + x * -2) = -52
-32 + 4x + (10 + -2x) = -52

Reorder the terms:
-32 + 10 + 4x + -2x = -52

Combine like terms: -32 + 10 = -22
-22 + 4x + -2x = -52

Combine like terms: 4x + -2x = 2x
-22 + 2x = -52

Solving
-22 + 2x = -52

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 2x = -52 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = -52 + 22
2x = -52 + 22

Combine like terms: -52 + 22 = -30
2x = -30

Divide each side by '2'.
x = -15

Simplifying
x = -15

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