47=32-3(x-1)

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Solution for 47=32-3(x-1) equation:


Simplifying
47 = 32 + -3(x + -1)

Reorder the terms:
47 = 32 + -3(-1 + x)
47 = 32 + (-1 * -3 + x * -3)
47 = 32 + (3 + -3x)

Combine like terms: 32 + 3 = 35
47 = 35 + -3x

Solving
47 = 35 + -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.
47 + 3x = 35 + -3x + 3x

Combine like terms: -3x + 3x = 0
47 + 3x = 35 + 0
47 + 3x = 35

Add '-47' to each side of the equation.
47 + -47 + 3x = 35 + -47

Combine like terms: 47 + -47 = 0
0 + 3x = 35 + -47
3x = 35 + -47

Combine like terms: 35 + -47 = -12
3x = -12

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

Simplifying
x = -4

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