13X-10=6(X+3)+7(X-4)

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Solution for 13X-10=6(X+3)+7(X-4) equation: 


Simplifying
13X + -10 = 6(X + 3) + 7(X + -4)

Reorder the terms:
-10 + 13X = 6(X + 3) + 7(X + -4)

Reorder the terms:
-10 + 13X = 6(3 + X) + 7(X + -4)
-10 + 13X = (3 * 6 + X * 6) + 7(X + -4)
-10 + 13X = (18 + 6X) + 7(X + -4)

Reorder the terms:
-10 + 13X = 18 + 6X + 7(-4 + X)
-10 + 13X = 18 + 6X + (-4 * 7 + X * 7)
-10 + 13X = 18 + 6X + (-28 + 7X)

Reorder the terms:
-10 + 13X = 18 + -28 + 6X + 7X

Combine like terms: 18 + -28 = -10
-10 + 13X = -10 + 6X + 7X

Combine like terms: 6X + 7X = 13X
-10 + 13X = -10 + 13X

Add '10' to each side of the equation.
-10 + 10 + 13X = -10 + 10 + 13X

Combine like terms: -10 + 10 = 0
0 + 13X = -10 + 10 + 13X
13X = -10 + 10 + 13X

Combine like terms: -10 + 10 = 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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