2x-5(3x-2)=-16

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Solution for 2x-5(3x-2)=-16 equation:


Simplifying
2x + -5(3x + -2) = -16

Reorder the terms:
2x + -5(-2 + 3x) = -16
2x + (-2 * -5 + 3x * -5) = -16
2x + (10 + -15x) = -16

Reorder the terms:
10 + 2x + -15x = -16

Combine like terms: 2x + -15x = -13x
10 + -13x = -16

Solving
10 + -13x = -16

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 + -13x = -16 + -10

Combine like terms: 10 + -10 = 0
0 + -13x = -16 + -10
-13x = -16 + -10

Combine like terms: -16 + -10 = -26
-13x = -26

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

Simplifying
x = 2

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