3(x-6)-5(x-2)=-14

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Solution for 3(x-6)-5(x-2)=-14 equation:


Simplifying
3(x + -6) + -5(x + -2) = -14

Reorder the terms:
3(-6 + x) + -5(x + -2) = -14
(-6 * 3 + x * 3) + -5(x + -2) = -14
(-18 + 3x) + -5(x + -2) = -14

Reorder the terms:
-18 + 3x + -5(-2 + x) = -14
-18 + 3x + (-2 * -5 + x * -5) = -14
-18 + 3x + (10 + -5x) = -14

Reorder the terms:
-18 + 10 + 3x + -5x = -14

Combine like terms: -18 + 10 = -8
-8 + 3x + -5x = -14

Combine like terms: 3x + -5x = -2x
-8 + -2x = -14

Solving
-8 + -2x = -14

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -2x = -14 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -14 + 8
-2x = -14 + 8

Combine like terms: -14 + 8 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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