4(x-3)-(x+6)=0

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Solution for 4(x-3)-(x+6)=0 equation:


Simplifying
4(x + -3) + -1(x + 6) = 0

Reorder the terms:
4(-3 + x) + -1(x + 6) = 0
(-3 * 4 + x * 4) + -1(x + 6) = 0
(-12 + 4x) + -1(x + 6) = 0

Reorder the terms:
-12 + 4x + -1(6 + x) = 0
-12 + 4x + (6 * -1 + x * -1) = 0
-12 + 4x + (-6 + -1x) = 0

Reorder the terms:
-12 + -6 + 4x + -1x = 0

Combine like terms: -12 + -6 = -18
-18 + 4x + -1x = 0

Combine like terms: 4x + -1x = 3x
-18 + 3x = 0

Solving
-18 + 3x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '18' to each side of the equation.
-18 + 18 + 3x = 0 + 18

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

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

Divide each side by '3'.
x = 6

Simplifying
x = 6

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