5(x-4)=52-3x

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Solution for 5(x-4)=52-3x equation:


Simplifying
5(x + -4) = 52 + -3x

Reorder the terms:
5(-4 + x) = 52 + -3x
(-4 * 5 + x * 5) = 52 + -3x
(-20 + 5x) = 52 + -3x

Solving
-20 + 5x = 52 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-20 + 5x + 3x = 52 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-20 + 8x = 52 + -3x + 3x

Combine like terms: -3x + 3x = 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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