3(x-6)-5(x+2)=-10

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Solution for 3(x-6)-5(x+2)=-10 equation: 


Simplifying
3(x + -6) + -5(x + 2) = -10

Reorder the terms:
3(-6 + x) + -5(x + 2) = -10
(-6 * 3 + x * 3) + -5(x + 2) = -10
(-18 + 3x) + -5(x + 2) = -10

Reorder the terms:
-18 + 3x + -5(2 + x) = -10
-18 + 3x + (2 * -5 + x * -5) = -10
-18 + 3x + (-10 + -5x) = -10

Reorder the terms:
-18 + -10 + 3x + -5x = -10

Combine like terms: -18 + -10 = -28
-28 + 3x + -5x = -10

Combine like terms: 3x + -5x = -2x
-28 + -2x = -10

Solving
-28 + -2x = -10

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + -2x = -10 + 28

Combine like terms: -28 + 28 = 0
0 + -2x = -10 + 28
-2x = -10 + 28

Combine like terms: -10 + 28 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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