40-(3X+13)=3(X+2)+X

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Solution for 40-(3X+13)=3(X+2)+X equation: 


Simplifying
40 + -1(3X + 13) = 3(X + 2) + X

Reorder the terms:
40 + -1(13 + 3X) = 3(X + 2) + X
40 + (13 * -1 + 3X * -1) = 3(X + 2) + X
40 + (-13 + -3X) = 3(X + 2) + X

Combine like terms: 40 + -13 = 27
27 + -3X = 3(X + 2) + X

Reorder the terms:
27 + -3X = 3(2 + X) + X
27 + -3X = (2 * 3 + X * 3) + X
27 + -3X = (6 + 3X) + X

Combine like terms: 3X + X = 4X
27 + -3X = 6 + 4X

Solving
27 + -3X = 6 + 4X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-4X' to each side of the equation.
27 + -3X + -4X = 6 + 4X + -4X

Combine like terms: -3X + -4X = -7X
27 + -7X = 6 + 4X + -4X

Combine like terms: 4X + -4X = 0
27 + -7X = 6 + 0
27 + -7X = 6

Add '-27' to each side of the equation.
27 + -27 + -7X = 6 + -27

Combine like terms: 27 + -27 = 0
0 + -7X = 6 + -27
-7X = 6 + -27

Combine like terms: 6 + -27 = -21
-7X = -21

Divide each side by '-7'.
X = 3

Simplifying
X = 3

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