9(X+10)+X=3(X+3)+2

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Solution for 9(X+10)+X=3(X+3)+2 equation:


Simplifying
9(X + 10) + X = 3(X + 3) + 2

Reorder the terms:
9(10 + X) + X = 3(X + 3) + 2
(10 * 9 + X * 9) + X = 3(X + 3) + 2
(90 + 9X) + X = 3(X + 3) + 2

Combine like terms: 9X + X = 10X
90 + 10X = 3(X + 3) + 2

Reorder the terms:
90 + 10X = 3(3 + X) + 2
90 + 10X = (3 * 3 + X * 3) + 2
90 + 10X = (9 + 3X) + 2

Reorder the terms:
90 + 10X = 9 + 2 + 3X

Combine like terms: 9 + 2 = 11
90 + 10X = 11 + 3X

Solving
90 + 10X = 11 + 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.
90 + 10X + -3X = 11 + 3X + -3X

Combine like terms: 10X + -3X = 7X
90 + 7X = 11 + 3X + -3X

Combine like terms: 3X + -3X = 0
90 + 7X = 11 + 0
90 + 7X = 11

Add '-90' to each side of the equation.
90 + -90 + 7X = 11 + -90

Combine like terms: 90 + -90 = 0
0 + 7X = 11 + -90
7X = 11 + -90

Combine like terms: 11 + -90 = -79
7X = -79

Divide each side by '7'.
X = -11.28571429

Simplifying
X = -11.28571429

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