4(x-5)=52-4x

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


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

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

Solving
-20 + 4x = 52 + -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.
-20 + 4x + 4x = 52 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
-20 + 8x = 52 + 0
-20 + 8x = 52

Add '20' to each side of the equation.
-20 + 20 + 8x = 52 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = 52 + 20
8x = 52 + 20

Combine like terms: 52 + 20 = 72
8x = 72

Divide each side by '8'.
x = 9

Simplifying
x = 9

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