41-(2x+3)=2(x+4)+x

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Solution for 41-(2x+3)=2(x+4)+x equation:


Simplifying
41 + -1(2x + 3) = 2(x + 4) + x

Reorder the terms:
41 + -1(3 + 2x) = 2(x + 4) + x
41 + (3 * -1 + 2x * -1) = 2(x + 4) + x
41 + (-3 + -2x) = 2(x + 4) + x

Combine like terms: 41 + -3 = 38
38 + -2x = 2(x + 4) + x

Reorder the terms:
38 + -2x = 2(4 + x) + x
38 + -2x = (4 * 2 + x * 2) + x
38 + -2x = (8 + 2x) + x

Combine like terms: 2x + x = 3x
38 + -2x = 8 + 3x

Solving
38 + -2x = 8 + 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.
38 + -2x + -3x = 8 + 3x + -3x

Combine like terms: -2x + -3x = -5x
38 + -5x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
38 + -5x = 8 + 0
38 + -5x = 8

Add '-38' to each side of the equation.
38 + -38 + -5x = 8 + -38

Combine like terms: 38 + -38 = 0
0 + -5x = 8 + -38
-5x = 8 + -38

Combine like terms: 8 + -38 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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