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

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


Simplifying
3(5 + -2x) + -3 = -2(x + -10)
(5 * 3 + -2x * 3) + -3 = -2(x + -10)
(15 + -6x) + -3 = -2(x + -10)

Reorder the terms:
15 + -3 + -6x = -2(x + -10)

Combine like terms: 15 + -3 = 12
12 + -6x = -2(x + -10)

Reorder the terms:
12 + -6x = -2(-10 + x)
12 + -6x = (-10 * -2 + x * -2)
12 + -6x = (20 + -2x)

Solving
12 + -6x = 20 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
12 + -6x + 2x = 20 + -2x + 2x

Combine like terms: -6x + 2x = -4x
12 + -4x = 20 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + -4x = 20 + 0
12 + -4x = 20

Add '-12' to each side of the equation.
12 + -12 + -4x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 20 + -12
-4x = 20 + -12

Combine like terms: 20 + -12 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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