46-(2x+5)=2(x+3)+x

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Solution for 46-(2x+5)=2(x+3)+x equation:


Simplifying
46 + -1(2x + 5) = 2(x + 3) + x

Reorder the terms:
46 + -1(5 + 2x) = 2(x + 3) + x
46 + (5 * -1 + 2x * -1) = 2(x + 3) + x
46 + (-5 + -2x) = 2(x + 3) + x

Combine like terms: 46 + -5 = 41
41 + -2x = 2(x + 3) + x

Reorder the terms:
41 + -2x = 2(3 + x) + x
41 + -2x = (3 * 2 + x * 2) + x
41 + -2x = (6 + 2x) + x

Combine like terms: 2x + x = 3x
41 + -2x = 6 + 3x

Solving
41 + -2x = 6 + 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.
41 + -2x + -3x = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
41 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
41 + -5x = 6 + 0
41 + -5x = 6

Add '-41' to each side of the equation.
41 + -41 + -5x = 6 + -41

Combine like terms: 41 + -41 = 0
0 + -5x = 6 + -41
-5x = 6 + -41

Combine like terms: 6 + -41 = -35
-5x = -35

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

Simplifying
x = 7

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