3(2x-3)=-(x+19)

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Solution for 3(2x-3)=-(x+19) equation:


Simplifying
3(2x + -3) = -1(x + 19)

Reorder the terms:
3(-3 + 2x) = -1(x + 19)
(-3 * 3 + 2x * 3) = -1(x + 19)
(-9 + 6x) = -1(x + 19)

Reorder the terms:
-9 + 6x = -1(19 + x)
-9 + 6x = (19 * -1 + x * -1)
-9 + 6x = (-19 + -1x)

Solving
-9 + 6x = -19 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-9 + 6x + x = -19 + -1x + x

Combine like terms: 6x + x = 7x
-9 + 7x = -19 + -1x + x

Combine like terms: -1x + x = 0
-9 + 7x = -19 + 0
-9 + 7x = -19

Add '9' to each side of the equation.
-9 + 9 + 7x = -19 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = -19 + 9
7x = -19 + 9

Combine like terms: -19 + 9 = -10
7x = -10

Divide each side by '7'.
x = -1.428571429

Simplifying
x = -1.428571429

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