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

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


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

Reorder the terms:
5(-3 + x) + x = 6(x + -3) + 3
(-3 * 5 + x * 5) + x = 6(x + -3) + 3
(-15 + 5x) + x = 6(x + -3) + 3

Combine like terms: 5x + x = 6x
-15 + 6x = 6(x + -3) + 3

Reorder the terms:
-15 + 6x = 6(-3 + x) + 3
-15 + 6x = (-3 * 6 + x * 6) + 3
-15 + 6x = (-18 + 6x) + 3

Reorder the terms:
-15 + 6x = -18 + 3 + 6x

Combine like terms: -18 + 3 = -15
-15 + 6x = -15 + 6x

Add '15' to each side of the equation.
-15 + 15 + 6x = -15 + 15 + 6x

Combine like terms: -15 + 15 = 0
0 + 6x = -15 + 15 + 6x
6x = -15 + 15 + 6x

Combine like terms: -15 + 15 = 0
6x = 0 + 6x
6x = 6x

Add '-6x' to each side of the equation.
6x + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
0 = 6x + -6x

Combine like terms: 6x + -6x = 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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