2(x-15)+3(x-6)=-2

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Solution for 2(x-15)+3(x-6)=-2 equation: 


Simplifying
2(x + -15) + 3(x + -6) = -2

Reorder the terms:
2(-15 + x) + 3(x + -6) = -2
(-15 * 2 + x * 2) + 3(x + -6) = -2
(-30 + 2x) + 3(x + -6) = -2

Reorder the terms:
-30 + 2x + 3(-6 + x) = -2
-30 + 2x + (-6 * 3 + x * 3) = -2
-30 + 2x + (-18 + 3x) = -2

Reorder the terms:
-30 + -18 + 2x + 3x = -2

Combine like terms: -30 + -18 = -48
-48 + 2x + 3x = -2

Combine like terms: 2x + 3x = 5x
-48 + 5x = -2

Solving
-48 + 5x = -2

Solving for variable 'x'.

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

Add '48' to each side of the equation.
-48 + 48 + 5x = -2 + 48

Combine like terms: -48 + 48 = 0
0 + 5x = -2 + 48
5x = -2 + 48

Combine like terms: -2 + 48 = 46
5x = 46

Divide each side by '5'.
x = 9.2

Simplifying
x = 9.2

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