3(X+2)=8(X-2)+3

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Solution for 3(X+2)=8(X-2)+3 equation:


Simplifying
3(X + 2) = 8(X + -2) + 3

Reorder the terms:
3(2 + X) = 8(X + -2) + 3
(2 * 3 + X * 3) = 8(X + -2) + 3
(6 + 3X) = 8(X + -2) + 3

Reorder the terms:
6 + 3X = 8(-2 + X) + 3
6 + 3X = (-2 * 8 + X * 8) + 3
6 + 3X = (-16 + 8X) + 3

Reorder the terms:
6 + 3X = -16 + 3 + 8X

Combine like terms: -16 + 3 = -13
6 + 3X = -13 + 8X

Solving
6 + 3X = -13 + 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
6 + 3X + -8X = -13 + 8X + -8X

Combine like terms: 3X + -8X = -5X
6 + -5X = -13 + 8X + -8X

Combine like terms: 8X + -8X = 0
6 + -5X = -13 + 0
6 + -5X = -13

Add '-6' to each side of the equation.
6 + -6 + -5X = -13 + -6

Combine like terms: 6 + -6 = 0
0 + -5X = -13 + -6
-5X = -13 + -6

Combine like terms: -13 + -6 = -19
-5X = -19

Divide each side by '-5'.
X = 3.8

Simplifying
X = 3.8

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