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

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


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

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

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

Solving
-10 + 2x = 18 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-10 + 2x + 3x = 18 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-10 + 5x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 5x = 18 + 0
-10 + 5x = 18

Add '10' to each side of the equation.
-10 + 10 + 5x = 18 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 18 + 10
5x = 18 + 10

Combine like terms: 18 + 10 = 28
5x = 28

Divide each side by '5'.
x = 5.6

Simplifying
x = 5.6

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