49=31-3(x-2)

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Solution for 49=31-3(x-2) equation:


Simplifying
49 = 31 + -3(x + -2)

Reorder the terms:
49 = 31 + -3(-2 + x)
49 = 31 + (-2 * -3 + x * -3)
49 = 31 + (6 + -3x)

Combine like terms: 31 + 6 = 37
49 = 37 + -3x

Solving
49 = 37 + -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.
49 + 3x = 37 + -3x + 3x

Combine like terms: -3x + 3x = 0
49 + 3x = 37 + 0
49 + 3x = 37

Add '-49' to each side of the equation.
49 + -49 + 3x = 37 + -49

Combine like terms: 49 + -49 = 0
0 + 3x = 37 + -49
3x = 37 + -49

Combine like terms: 37 + -49 = -12
3x = -12

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

Simplifying
x = -4

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