47-(2x+13)=2(x+7)+x

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Solution for 47-(2x+13)=2(x+7)+x equation:


Simplifying
47 + -1(2x + 13) = 2(x + 7) + x

Reorder the terms:
47 + -1(13 + 2x) = 2(x + 7) + x
47 + (13 * -1 + 2x * -1) = 2(x + 7) + x
47 + (-13 + -2x) = 2(x + 7) + x

Combine like terms: 47 + -13 = 34
34 + -2x = 2(x + 7) + x

Reorder the terms:
34 + -2x = 2(7 + x) + x
34 + -2x = (7 * 2 + x * 2) + x
34 + -2x = (14 + 2x) + x

Combine like terms: 2x + x = 3x
34 + -2x = 14 + 3x

Solving
34 + -2x = 14 + 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.
34 + -2x + -3x = 14 + 3x + -3x

Combine like terms: -2x + -3x = -5x
34 + -5x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
34 + -5x = 14 + 0
34 + -5x = 14

Add '-34' to each side of the equation.
34 + -34 + -5x = 14 + -34

Combine like terms: 34 + -34 = 0
0 + -5x = 14 + -34
-5x = 14 + -34

Combine like terms: 14 + -34 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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