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

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


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

Reorder the terms:
-2(5 + 2x) = -3(2x + -6)
(5 * -2 + 2x * -2) = -3(2x + -6)
(-10 + -4x) = -3(2x + -6)

Reorder the terms:
-10 + -4x = -3(-6 + 2x)
-10 + -4x = (-6 * -3 + 2x * -3)
-10 + -4x = (18 + -6x)

Solving
-10 + -4x = 18 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-10 + -4x + 6x = 18 + -6x + 6x

Combine like terms: -4x + 6x = 2x
-10 + 2x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
-10 + 2x = 18 + 0
-10 + 2x = 18

Add '10' to each side of the equation.
-10 + 10 + 2x = 18 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 18 + 10
2x = 18 + 10

Combine like terms: 18 + 10 = 28
2x = 28

Divide each side by '2'.
x = 14

Simplifying
x = 14

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