2(x-3)-9(x+6)=-4

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Solution for 2(x-3)-9(x+6)=-4 equation:


Simplifying
2(x + -3) + -9(x + 6) = -4

Reorder the terms:
2(-3 + x) + -9(x + 6) = -4
(-3 * 2 + x * 2) + -9(x + 6) = -4
(-6 + 2x) + -9(x + 6) = -4

Reorder the terms:
-6 + 2x + -9(6 + x) = -4
-6 + 2x + (6 * -9 + x * -9) = -4
-6 + 2x + (-54 + -9x) = -4

Reorder the terms:
-6 + -54 + 2x + -9x = -4

Combine like terms: -6 + -54 = -60
-60 + 2x + -9x = -4

Combine like terms: 2x + -9x = -7x
-60 + -7x = -4

Solving
-60 + -7x = -4

Solving for variable 'x'.

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

Add '60' to each side of the equation.
-60 + 60 + -7x = -4 + 60

Combine like terms: -60 + 60 = 0
0 + -7x = -4 + 60
-7x = -4 + 60

Combine like terms: -4 + 60 = 56
-7x = 56

Divide each side by '-7'.
x = -8

Simplifying
x = -8

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