46=31-3(x-1)

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Solution for 46=31-3(x-1) equation:


Simplifying
46 = 31 + -3(x + -1)

Reorder the terms:
46 = 31 + -3(-1 + x)
46 = 31 + (-1 * -3 + x * -3)
46 = 31 + (3 + -3x)

Combine like terms: 31 + 3 = 34
46 = 34 + -3x

Solving
46 = 34 + -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.
46 + 3x = 34 + -3x + 3x

Combine like terms: -3x + 3x = 0
46 + 3x = 34 + 0
46 + 3x = 34

Add '-46' to each side of the equation.
46 + -46 + 3x = 34 + -46

Combine like terms: 46 + -46 = 0
0 + 3x = 34 + -46
3x = 34 + -46

Combine like terms: 34 + -46 = -12
3x = -12

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

Simplifying
x = -4

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