47=2x+3(x+4)

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


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

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

Reorder the terms:
47 = 12 + 2x + 3x

Combine like terms: 2x + 3x = 5x
47 = 12 + 5x

Solving
47 = 12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
47 + -5x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
47 + -5x = 12 + 0
47 + -5x = 12

Add '-47' to each side of the equation.
47 + -47 + -5x = 12 + -47

Combine like terms: 47 + -47 = 0
0 + -5x = 12 + -47
-5x = 12 + -47

Combine like terms: 12 + -47 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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