7(x+2)+x+3=2(4x+5)+7

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Solution for 7(x+2)+x+3=2(4x+5)+7 equation:


Simplifying
7(x + 2) + x + 3 = 2(4x + 5) + 7

Reorder the terms:
7(2 + x) + x + 3 = 2(4x + 5) + 7
(2 * 7 + x * 7) + x + 3 = 2(4x + 5) + 7
(14 + 7x) + x + 3 = 2(4x + 5) + 7

Reorder the terms:
14 + 3 + 7x + x = 2(4x + 5) + 7

Combine like terms: 14 + 3 = 17
17 + 7x + x = 2(4x + 5) + 7

Combine like terms: 7x + x = 8x
17 + 8x = 2(4x + 5) + 7

Reorder the terms:
17 + 8x = 2(5 + 4x) + 7
17 + 8x = (5 * 2 + 4x * 2) + 7
17 + 8x = (10 + 8x) + 7

Reorder the terms:
17 + 8x = 10 + 7 + 8x

Combine like terms: 10 + 7 = 17
17 + 8x = 17 + 8x

Add '-17' to each side of the equation.
17 + -17 + 8x = 17 + -17 + 8x

Combine like terms: 17 + -17 = 0
0 + 8x = 17 + -17 + 8x
8x = 17 + -17 + 8x

Combine like terms: 17 + -17 = 0
8x = 0 + 8x
8x = 8x

Add '-8x' to each side of the equation.
8x + -8x = 8x + -8x

Combine like terms: 8x + -8x = 0
0 = 8x + -8x

Combine like terms: 8x + -8x = 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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