50-(2x+3)=2(x+6)+x

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Solution for 50-(2x+3)=2(x+6)+x equation: 


Simplifying
50 + -1(2x + 3) = 2(x + 6) + x

Reorder the terms:
50 + -1(3 + 2x) = 2(x + 6) + x
50 + (3 * -1 + 2x * -1) = 2(x + 6) + x
50 + (-3 + -2x) = 2(x + 6) + x

Combine like terms: 50 + -3 = 47
47 + -2x = 2(x + 6) + x

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

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

Solving
47 + -2x = 12 + 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.
47 + -2x + -3x = 12 + 3x + -3x

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

Combine like terms: 3x + -3x = 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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