3(X+2)-(2X-7)=28-2X

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Solution for 3(X+2)-(2X-7)=28-2X equation: 


Simplifying
3(X + 2) + -1(2X + -7) = 28 + -2X

Reorder the terms:
3(2 + X) + -1(2X + -7) = 28 + -2X
(2 * 3 + X * 3) + -1(2X + -7) = 28 + -2X
(6 + 3X) + -1(2X + -7) = 28 + -2X

Reorder the terms:
6 + 3X + -1(-7 + 2X) = 28 + -2X
6 + 3X + (-7 * -1 + 2X * -1) = 28 + -2X
6 + 3X + (7 + -2X) = 28 + -2X

Reorder the terms:
6 + 7 + 3X + -2X = 28 + -2X

Combine like terms: 6 + 7 = 13
13 + 3X + -2X = 28 + -2X

Combine like terms: 3X + -2X = 1X
13 + 1X = 28 + -2X

Solving
13 + 1X = 28 + -2X

Solving for variable 'X'.

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

Add '2X' to each side of the equation.
13 + 1X + 2X = 28 + -2X + 2X

Combine like terms: 1X + 2X = 3X
13 + 3X = 28 + -2X + 2X

Combine like terms: -2X + 2X = 0
13 + 3X = 28 + 0
13 + 3X = 28

Add '-13' to each side of the equation.
13 + -13 + 3X = 28 + -13

Combine like terms: 13 + -13 = 0
0 + 3X = 28 + -13
3X = 28 + -13

Combine like terms: 28 + -13 = 15
3X = 15

Divide each side by '3'.
X = 5

Simplifying
X = 5

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