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

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Solution for 2(X+3)+3(X-1)=7(X+2) equation:


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

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

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

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

Combine like terms: 6 + -3 = 3
3 + 2X + 3X = 7(X + 2)

Combine like terms: 2X + 3X = 5X
3 + 5X = 7(X + 2)

Reorder the terms:
3 + 5X = 7(2 + X)
3 + 5X = (2 * 7 + X * 7)
3 + 5X = (14 + 7X)

Solving
3 + 5X = 14 + 7X

Solving for variable 'X'.

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

Add '-7X' to each side of the equation.
3 + 5X + -7X = 14 + 7X + -7X

Combine like terms: 5X + -7X = -2X
3 + -2X = 14 + 7X + -7X

Combine like terms: 7X + -7X = 0
3 + -2X = 14 + 0
3 + -2X = 14

Add '-3' to each side of the equation.
3 + -3 + -2X = 14 + -3

Combine like terms: 3 + -3 = 0
0 + -2X = 14 + -3
-2X = 14 + -3

Combine like terms: 14 + -3 = 11
-2X = 11

Divide each side by '-2'.
X = -5.5

Simplifying
X = -5.5

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