9X-2(-8)=7(X+1)+6

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Solution for 9X-2(-8)=7(X+1)+6 equation:


Simplifying
9X + -2(-8) = 7(X + 1) + 6

Multiply -2 * -8
9X + 16 = 7(X + 1) + 6

Reorder the terms:
16 + 9X = 7(X + 1) + 6

Reorder the terms:
16 + 9X = 7(1 + X) + 6
16 + 9X = (1 * 7 + X * 7) + 6
16 + 9X = (7 + 7X) + 6

Reorder the terms:
16 + 9X = 7 + 6 + 7X

Combine like terms: 7 + 6 = 13
16 + 9X = 13 + 7X

Solving
16 + 9X = 13 + 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.
16 + 9X + -7X = 13 + 7X + -7X

Combine like terms: 9X + -7X = 2X
16 + 2X = 13 + 7X + -7X

Combine like terms: 7X + -7X = 0
16 + 2X = 13 + 0
16 + 2X = 13

Add '-16' to each side of the equation.
16 + -16 + 2X = 13 + -16

Combine like terms: 16 + -16 = 0
0 + 2X = 13 + -16
2X = 13 + -16

Combine like terms: 13 + -16 = -3
2X = -3

Divide each side by '2'.
X = -1.5

Simplifying
X = -1.5

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