2x-5(3x-4)=-6

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Solution for 2x-5(3x-4)=-6 equation:


Simplifying
2x + -5(3x + -4) = -6

Reorder the terms:
2x + -5(-4 + 3x) = -6
2x + (-4 * -5 + 3x * -5) = -6
2x + (20 + -15x) = -6

Reorder the terms:
20 + 2x + -15x = -6

Combine like terms: 2x + -15x = -13x
20 + -13x = -6

Solving
20 + -13x = -6

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -13x = -6 + -20

Combine like terms: 20 + -20 = 0
0 + -13x = -6 + -20
-13x = -6 + -20

Combine like terms: -6 + -20 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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