52=31-3(x-3)

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Solution for 52=31-3(x-3) equation:


Simplifying
52 = 31 + -3(x + -3)

Reorder the terms:
52 = 31 + -3(-3 + x)
52 = 31 + (-3 * -3 + x * -3)
52 = 31 + (9 + -3x)

Combine like terms: 31 + 9 = 40
52 = 40 + -3x

Solving
52 = 40 + -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.
52 + 3x = 40 + -3x + 3x

Combine like terms: -3x + 3x = 0
52 + 3x = 40 + 0
52 + 3x = 40

Add '-52' to each side of the equation.
52 + -52 + 3x = 40 + -52

Combine like terms: 52 + -52 = 0
0 + 3x = 40 + -52
3x = 40 + -52

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

Divide each side by '3'.
x = -4

Simplifying
x = -4

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