6(X-3)+2X=8(X+3)-42

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Solution for 6(X-3)+2X=8(X+3)-42 equation: 


Simplifying
6(X + -3) + 2X = 8(X + 3) + -42

Reorder the terms:
6(-3 + X) + 2X = 8(X + 3) + -42
(-3 * 6 + X * 6) + 2X = 8(X + 3) + -42
(-18 + 6X) + 2X = 8(X + 3) + -42

Combine like terms: 6X + 2X = 8X
-18 + 8X = 8(X + 3) + -42

Reorder the terms:
-18 + 8X = 8(3 + X) + -42
-18 + 8X = (3 * 8 + X * 8) + -42
-18 + 8X = (24 + 8X) + -42

Reorder the terms:
-18 + 8X = 24 + -42 + 8X

Combine like terms: 24 + -42 = -18
-18 + 8X = -18 + 8X

Add '18' to each side of the equation.
-18 + 18 + 8X = -18 + 18 + 8X

Combine like terms: -18 + 18 = 0
0 + 8X = -18 + 18 + 8X
8X = -18 + 18 + 8X

Combine like terms: -18 + 18 = 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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