2(3x-1)-19=-3(4x-5)

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Solution for 2(3x-1)-19=-3(4x-5) equation:


Simplifying
2(3x + -1) + -19 = -3(4x + -5)

Reorder the terms:
2(-1 + 3x) + -19 = -3(4x + -5)
(-1 * 2 + 3x * 2) + -19 = -3(4x + -5)
(-2 + 6x) + -19 = -3(4x + -5)

Reorder the terms:
-2 + -19 + 6x = -3(4x + -5)

Combine like terms: -2 + -19 = -21
-21 + 6x = -3(4x + -5)

Reorder the terms:
-21 + 6x = -3(-5 + 4x)
-21 + 6x = (-5 * -3 + 4x * -3)
-21 + 6x = (15 + -12x)

Solving
-21 + 6x = 15 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-21 + 6x + 12x = 15 + -12x + 12x

Combine like terms: 6x + 12x = 18x
-21 + 18x = 15 + -12x + 12x

Combine like terms: -12x + 12x = 0
-21 + 18x = 15 + 0
-21 + 18x = 15

Add '21' to each side of the equation.
-21 + 21 + 18x = 15 + 21

Combine like terms: -21 + 21 = 0
0 + 18x = 15 + 21
18x = 15 + 21

Combine like terms: 15 + 21 = 36
18x = 36

Divide each side by '18'.
x = 2

Simplifying
x = 2

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