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

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


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

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

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

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

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

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

Solving
-52 = -22 + 2X

Solving for variable 'X'.

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

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

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

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

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

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

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

Simplifying
X = -15

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