6(x-2)+5x=-3(x+4)+14x

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Solution for 6(x-2)+5x=-3(x+4)+14x equation: 


Simplifying
6(x + -2) + 5x = -3(x + 4) + 14x

Reorder the terms:
6(-2 + x) + 5x = -3(x + 4) + 14x
(-2 * 6 + x * 6) + 5x = -3(x + 4) + 14x
(-12 + 6x) + 5x = -3(x + 4) + 14x

Combine like terms: 6x + 5x = 11x
-12 + 11x = -3(x + 4) + 14x

Reorder the terms:
-12 + 11x = -3(4 + x) + 14x
-12 + 11x = (4 * -3 + x * -3) + 14x
-12 + 11x = (-12 + -3x) + 14x

Combine like terms: -3x + 14x = 11x
-12 + 11x = -12 + 11x

Add '12' to each side of the equation.
-12 + 12 + 11x = -12 + 12 + 11x

Combine like terms: -12 + 12 = 0
0 + 11x = -12 + 12 + 11x
11x = -12 + 12 + 11x

Combine like terms: -12 + 12 = 0
11x = 0 + 11x
11x = 11x

Add '-11x' to each side of the equation.
11x + -11x = 11x + -11x

Combine like terms: 11x + -11x = 0
0 = 11x + -11x

Combine like terms: 11x + -11x = 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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