3(3x+4)+2(2x+2)+5=13x+21

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Solution for 3(3x+4)+2(2x+2)+5=13x+21 equation:


Simplifying
3(3x + 4) + 2(2x + 2) + 5 = 13x + 21

Reorder the terms:
3(4 + 3x) + 2(2x + 2) + 5 = 13x + 21
(4 * 3 + 3x * 3) + 2(2x + 2) + 5 = 13x + 21
(12 + 9x) + 2(2x + 2) + 5 = 13x + 21

Reorder the terms:
12 + 9x + 2(2 + 2x) + 5 = 13x + 21
12 + 9x + (2 * 2 + 2x * 2) + 5 = 13x + 21
12 + 9x + (4 + 4x) + 5 = 13x + 21

Reorder the terms:
12 + 4 + 5 + 9x + 4x = 13x + 21

Combine like terms: 12 + 4 = 16
16 + 5 + 9x + 4x = 13x + 21

Combine like terms: 16 + 5 = 21
21 + 9x + 4x = 13x + 21

Combine like terms: 9x + 4x = 13x
21 + 13x = 13x + 21

Reorder the terms:
21 + 13x = 21 + 13x

Add '-21' to each side of the equation.
21 + -21 + 13x = 21 + -21 + 13x

Combine like terms: 21 + -21 = 0
0 + 13x = 21 + -21 + 13x
13x = 21 + -21 + 13x

Combine like terms: 21 + -21 = 0
13x = 0 + 13x
13x = 13x

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

Combine like terms: 13x + -13x = 0
0 = 13x + -13x

Combine like terms: 13x + -13x = 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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