2(3X+4)+5=3(X-7)+8

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Solution for 2(3X+4)+5=3(X-7)+8 equation: 


Simplifying
2(3X + 4) + 5 = 3(X + -7) + 8

Reorder the terms:
2(4 + 3X) + 5 = 3(X + -7) + 8
(4 * 2 + 3X * 2) + 5 = 3(X + -7) + 8
(8 + 6X) + 5 = 3(X + -7) + 8

Reorder the terms:
8 + 5 + 6X = 3(X + -7) + 8

Combine like terms: 8 + 5 = 13
13 + 6X = 3(X + -7) + 8

Reorder the terms:
13 + 6X = 3(-7 + X) + 8
13 + 6X = (-7 * 3 + X * 3) + 8
13 + 6X = (-21 + 3X) + 8

Reorder the terms:
13 + 6X = -21 + 8 + 3X

Combine like terms: -21 + 8 = -13
13 + 6X = -13 + 3X

Solving
13 + 6X = -13 + 3X

Solving for variable 'X'.

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

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

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

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

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

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

Combine like terms: -13 + -13 = -26
3X = -26

Divide each side by '3'.
X = -8.666666667

Simplifying
X = -8.666666667

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