-6x-5(x-2)=-45

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Solution for -6x-5(x-2)=-45 equation:


Simplifying
-6x + -5(x + -2) = -45

Reorder the terms:
-6x + -5(-2 + x) = -45
-6x + (-2 * -5 + x * -5) = -45
-6x + (10 + -5x) = -45

Reorder the terms:
10 + -6x + -5x = -45

Combine like terms: -6x + -5x = -11x
10 + -11x = -45

Solving
10 + -11x = -45

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -11x = -45 + -10

Combine like terms: 10 + -10 = 0
0 + -11x = -45 + -10
-11x = -45 + -10

Combine like terms: -45 + -10 = -55
-11x = -55

Divide each side by '-11'.
x = 5

Simplifying
x = 5

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