33-(2x+13)=2(x+5)+x

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Solution for 33-(2x+13)=2(x+5)+x equation:


Simplifying
33 + -1(2x + 13) = 2(x + 5) + x

Reorder the terms:
33 + -1(13 + 2x) = 2(x + 5) + x
33 + (13 * -1 + 2x * -1) = 2(x + 5) + x
33 + (-13 + -2x) = 2(x + 5) + x

Combine like terms: 33 + -13 = 20
20 + -2x = 2(x + 5) + x

Reorder the terms:
20 + -2x = 2(5 + x) + x
20 + -2x = (5 * 2 + x * 2) + x
20 + -2x = (10 + 2x) + x

Combine like terms: 2x + x = 3x
20 + -2x = 10 + 3x

Solving
20 + -2x = 10 + 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.
20 + -2x + -3x = 10 + 3x + -3x

Combine like terms: -2x + -3x = -5x
20 + -5x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -5x = 10 + 0
20 + -5x = 10

Add '-20' to each side of the equation.
20 + -20 + -5x = 10 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = 10 + -20
-5x = 10 + -20

Combine like terms: 10 + -20 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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