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

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


Simplifying
4(x + -3) + -1(x + 6) = 3(x + -6)

Reorder the terms:
4(-3 + x) + -1(x + 6) = 3(x + -6)
(-3 * 4 + x * 4) + -1(x + 6) = 3(x + -6)
(-12 + 4x) + -1(x + 6) = 3(x + -6)

Reorder the terms:
-12 + 4x + -1(6 + x) = 3(x + -6)
-12 + 4x + (6 * -1 + x * -1) = 3(x + -6)
-12 + 4x + (-6 + -1x) = 3(x + -6)

Reorder the terms:
-12 + -6 + 4x + -1x = 3(x + -6)

Combine like terms: -12 + -6 = -18
-18 + 4x + -1x = 3(x + -6)

Combine like terms: 4x + -1x = 3x
-18 + 3x = 3(x + -6)

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

Add '18' to each side of the equation.
-18 + 18 + 3x = -18 + 18 + 3x

Combine like terms: -18 + 18 = 0
0 + 3x = -18 + 18 + 3x
3x = -18 + 18 + 3x

Combine like terms: -18 + 18 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 3x + -3x

Combine like terms: 3x + -3x = 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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