5(X+3)+2(2X-7)=9(X+1)-8

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Solution for 5(X+3)+2(2X-7)=9(X+1)-8 equation:


Simplifying
5(X + 3) + 2(2X + -7) = 9(X + 1) + -8

Reorder the terms:
5(3 + X) + 2(2X + -7) = 9(X + 1) + -8
(3 * 5 + X * 5) + 2(2X + -7) = 9(X + 1) + -8
(15 + 5X) + 2(2X + -7) = 9(X + 1) + -8

Reorder the terms:
15 + 5X + 2(-7 + 2X) = 9(X + 1) + -8
15 + 5X + (-7 * 2 + 2X * 2) = 9(X + 1) + -8
15 + 5X + (-14 + 4X) = 9(X + 1) + -8

Reorder the terms:
15 + -14 + 5X + 4X = 9(X + 1) + -8

Combine like terms: 15 + -14 = 1
1 + 5X + 4X = 9(X + 1) + -8

Combine like terms: 5X + 4X = 9X
1 + 9X = 9(X + 1) + -8

Reorder the terms:
1 + 9X = 9(1 + X) + -8
1 + 9X = (1 * 9 + X * 9) + -8
1 + 9X = (9 + 9X) + -8

Reorder the terms:
1 + 9X = 9 + -8 + 9X

Combine like terms: 9 + -8 = 1
1 + 9X = 1 + 9X

Add '-1' to each side of the equation.
1 + -1 + 9X = 1 + -1 + 9X

Combine like terms: 1 + -1 = 0
0 + 9X = 1 + -1 + 9X
9X = 1 + -1 + 9X

Combine like terms: 1 + -1 = 0
9X = 0 + 9X
9X = 9X

Add '-9X' to each side of the equation.
9X + -9X = 9X + -9X

Combine like terms: 9X + -9X = 0
0 = 9X + -9X

Combine like terms: 9X + -9X = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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