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

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


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

Reorder the terms:
7(3 + X) = 2(X + -2)
(3 * 7 + X * 7) = 2(X + -2)
(21 + 7X) = 2(X + -2)

Reorder the terms:
21 + 7X = 2(-2 + X)
21 + 7X = (-2 * 2 + X * 2)
21 + 7X = (-4 + 2X)

Solving
21 + 7X = -4 + 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.
21 + 7X + -2X = -4 + 2X + -2X

Combine like terms: 7X + -2X = 5X
21 + 5X = -4 + 2X + -2X

Combine like terms: 2X + -2X = 0
21 + 5X = -4 + 0
21 + 5X = -4

Add '-21' to each side of the equation.
21 + -21 + 5X = -4 + -21

Combine like terms: 21 + -21 = 0
0 + 5X = -4 + -21
5X = -4 + -21

Combine like terms: -4 + -21 = -25
5X = -25

Divide each side by '5'.
X = -5

Simplifying
X = -5

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