47-(3x+7)=4(x+6)+x

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Solution for 47-(3x+7)=4(x+6)+x equation:


Simplifying
47 + -1(3x + 7) = 4(x + 6) + x

Reorder the terms:
47 + -1(7 + 3x) = 4(x + 6) + x
47 + (7 * -1 + 3x * -1) = 4(x + 6) + x
47 + (-7 + -3x) = 4(x + 6) + x

Combine like terms: 47 + -7 = 40
40 + -3x = 4(x + 6) + x

Reorder the terms:
40 + -3x = 4(6 + x) + x
40 + -3x = (6 * 4 + x * 4) + x
40 + -3x = (24 + 4x) + x

Combine like terms: 4x + x = 5x
40 + -3x = 24 + 5x

Solving
40 + -3x = 24 + 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.
40 + -3x + -5x = 24 + 5x + -5x

Combine like terms: -3x + -5x = -8x
40 + -8x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
40 + -8x = 24 + 0
40 + -8x = 24

Add '-40' to each side of the equation.
40 + -40 + -8x = 24 + -40

Combine like terms: 40 + -40 = 0
0 + -8x = 24 + -40
-8x = 24 + -40

Combine like terms: 24 + -40 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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