47=31-2(x-4)

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Solution for 47=31-2(x-4) equation:


Simplifying
47 = 31 + -2(x + -4)

Reorder the terms:
47 = 31 + -2(-4 + x)
47 = 31 + (-4 * -2 + x * -2)
47 = 31 + (8 + -2x)

Combine like terms: 31 + 8 = 39
47 = 39 + -2x

Solving
47 = 39 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
47 + 2x = 39 + -2x + 2x

Combine like terms: -2x + 2x = 0
47 + 2x = 39 + 0
47 + 2x = 39

Add '-47' to each side of the equation.
47 + -47 + 2x = 39 + -47

Combine like terms: 47 + -47 = 0
0 + 2x = 39 + -47
2x = 39 + -47

Combine like terms: 39 + -47 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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