2x-3(5x-9)=-77

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Solution for 2x-3(5x-9)=-77 equation:


Simplifying
2x + -3(5x + -9) = -77

Reorder the terms:
2x + -3(-9 + 5x) = -77
2x + (-9 * -3 + 5x * -3) = -77
2x + (27 + -15x) = -77

Reorder the terms:
27 + 2x + -15x = -77

Combine like terms: 2x + -15x = -13x
27 + -13x = -77

Solving
27 + -13x = -77

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -13x = -77 + -27

Combine like terms: 27 + -27 = 0
0 + -13x = -77 + -27
-13x = -77 + -27

Combine like terms: -77 + -27 = -104
-13x = -104

Divide each side by '-13'.
x = 8

Simplifying
x = 8

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