2x-3(2x-5)+6=-45

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Solution for 2x-3(2x-5)+6=-45 equation:


Simplifying
2x + -3(2x + -5) + 6 = -45

Reorder the terms:
2x + -3(-5 + 2x) + 6 = -45
2x + (-5 * -3 + 2x * -3) + 6 = -45
2x + (15 + -6x) + 6 = -45

Reorder the terms:
15 + 6 + 2x + -6x = -45

Combine like terms: 15 + 6 = 21
21 + 2x + -6x = -45

Combine like terms: 2x + -6x = -4x
21 + -4x = -45

Solving
21 + -4x = -45

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + -4x = -45 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = -45 + -21
-4x = -45 + -21

Combine like terms: -45 + -21 = -66
-4x = -66

Divide each side by '-4'.
x = 16.5

Simplifying
x = 16.5

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