3(x-4)+52=-2

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Solution for 3(x-4)+52=-2 equation:


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

Reorder the terms:
3(-4 + x) + 52 = -2
(-4 * 3 + x * 3) + 52 = -2
(-12 + 3x) + 52 = -2

Reorder the terms:
-12 + 52 + 3x = -2

Combine like terms: -12 + 52 = 40
40 + 3x = -2

Solving
40 + 3x = -2

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 3x = -2 + -40

Combine like terms: 40 + -40 = 0
0 + 3x = -2 + -40
3x = -2 + -40

Combine like terms: -2 + -40 = -42
3x = -42

Divide each side by '3'.
x = -14

Simplifying
x = -14

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