2(x-5)+3(x+6)=5x+8

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Solution for 2(x-5)+3(x+6)=5x+8 equation:


Simplifying
2(x + -5) + 3(x + 6) = 5x + 8

Reorder the terms:
2(-5 + x) + 3(x + 6) = 5x + 8
(-5 * 2 + x * 2) + 3(x + 6) = 5x + 8
(-10 + 2x) + 3(x + 6) = 5x + 8

Reorder the terms:
-10 + 2x + 3(6 + x) = 5x + 8
-10 + 2x + (6 * 3 + x * 3) = 5x + 8
-10 + 2x + (18 + 3x) = 5x + 8

Reorder the terms:
-10 + 18 + 2x + 3x = 5x + 8

Combine like terms: -10 + 18 = 8
8 + 2x + 3x = 5x + 8

Combine like terms: 2x + 3x = 5x
8 + 5x = 5x + 8

Reorder the terms:
8 + 5x = 8 + 5x

Add '-8' to each side of the equation.
8 + -8 + 5x = 8 + -8 + 5x

Combine like terms: 8 + -8 = 0
0 + 5x = 8 + -8 + 5x
5x = 8 + -8 + 5x

Combine like terms: 8 + -8 = 0
5x = 0 + 5x
5x = 5x

Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 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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