3(x+20)-5x=-3(x-3)

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Solution for 3(x+20)-5x=-3(x-3) equation:


Simplifying
3(x + 20) + -5x = -3(x + -3)

Reorder the terms:
3(20 + x) + -5x = -3(x + -3)
(20 * 3 + x * 3) + -5x = -3(x + -3)
(60 + 3x) + -5x = -3(x + -3)

Combine like terms: 3x + -5x = -2x
60 + -2x = -3(x + -3)

Reorder the terms:
60 + -2x = -3(-3 + x)
60 + -2x = (-3 * -3 + x * -3)
60 + -2x = (9 + -3x)

Solving
60 + -2x = 9 + -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 + -2x + 3x = 9 + -3x + 3x

Combine like terms: -2x + 3x = 1x
60 + 1x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
60 + 1x = 9 + 0
60 + 1x = 9

Add '-60' to each side of the equation.
60 + -60 + 1x = 9 + -60

Combine like terms: 60 + -60 = 0
0 + 1x = 9 + -60
1x = 9 + -60

Combine like terms: 9 + -60 = -51
1x = -51

Divide each side by '1'.
x = -51

Simplifying
x = -51

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