6(-2x+10)=3(x-5)

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Solution for 6(-2x+10)=3(x-5) equation: 


Simplifying
6(-2x + 10) = 3(x + -5)

Reorder the terms:
6(10 + -2x) = 3(x + -5)
(10 * 6 + -2x * 6) = 3(x + -5)
(60 + -12x) = 3(x + -5)

Reorder the terms:
60 + -12x = 3(-5 + x)
60 + -12x = (-5 * 3 + x * 3)
60 + -12x = (-15 + 3x)

Solving
60 + -12x = -15 + 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.
60 + -12x + -3x = -15 + 3x + -3x

Combine like terms: -12x + -3x = -15x
60 + -15x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
60 + -15x = -15 + 0
60 + -15x = -15

Add '-60' to each side of the equation.
60 + -60 + -15x = -15 + -60

Combine like terms: 60 + -60 = 0
0 + -15x = -15 + -60
-15x = -15 + -60

Combine like terms: -15 + -60 = -75
-15x = -75

Divide each side by '-15'.
x = 5

Simplifying
x = 5

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