5(2x+3)=3(x+2)+7x+9

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Solution for 5(2x+3)=3(x+2)+7x+9 equation:


Simplifying
5(2x + 3) = 3(x + 2) + 7x + 9

Reorder the terms:
5(3 + 2x) = 3(x + 2) + 7x + 9
(3 * 5 + 2x * 5) = 3(x + 2) + 7x + 9
(15 + 10x) = 3(x + 2) + 7x + 9

Reorder the terms:
15 + 10x = 3(2 + x) + 7x + 9
15 + 10x = (2 * 3 + x * 3) + 7x + 9
15 + 10x = (6 + 3x) + 7x + 9

Reorder the terms:
15 + 10x = 6 + 9 + 3x + 7x

Combine like terms: 6 + 9 = 15
15 + 10x = 15 + 3x + 7x

Combine like terms: 3x + 7x = 10x
15 + 10x = 15 + 10x

Add '-15' to each side of the equation.
15 + -15 + 10x = 15 + -15 + 10x

Combine like terms: 15 + -15 = 0
0 + 10x = 15 + -15 + 10x
10x = 15 + -15 + 10x

Combine like terms: 15 + -15 = 0
10x = 0 + 10x
10x = 10x

Add '-10x' to each side of the equation.
10x + -10x = 10x + -10x

Combine like terms: 10x + -10x = 0
0 = 10x + -10x

Combine like terms: 10x + -10x = 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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