47=5-3(4x-2)

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Solution for 47=5-3(4x-2) equation:


Simplifying
47 = 5 + -3(4x + -2)

Reorder the terms:
47 = 5 + -3(-2 + 4x)
47 = 5 + (-2 * -3 + 4x * -3)
47 = 5 + (6 + -12x)

Combine like terms: 5 + 6 = 11
47 = 11 + -12x

Solving
47 = 11 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
47 + 12x = 11 + -12x + 12x

Combine like terms: -12x + 12x = 0
47 + 12x = 11 + 0
47 + 12x = 11

Add '-47' to each side of the equation.
47 + -47 + 12x = 11 + -47

Combine like terms: 47 + -47 = 0
0 + 12x = 11 + -47
12x = 11 + -47

Combine like terms: 11 + -47 = -36
12x = -36

Divide each side by '12'.
x = -3

Simplifying
x = -3

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