19=6(2x-3)+13

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Solution for 19=6(2x-3)+13 equation:


Simplifying
19 = 6(2x + -3) + 13

Reorder the terms:
19 = 6(-3 + 2x) + 13
19 = (-3 * 6 + 2x * 6) + 13
19 = (-18 + 12x) + 13

Reorder the terms:
19 = -18 + 13 + 12x

Combine like terms: -18 + 13 = -5
19 = -5 + 12x

Solving
19 = -5 + 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.
19 + -12x = -5 + 12x + -12x

Combine like terms: 12x + -12x = 0
19 + -12x = -5 + 0
19 + -12x = -5

Add '-19' to each side of the equation.
19 + -19 + -12x = -5 + -19

Combine like terms: 19 + -19 = 0
0 + -12x = -5 + -19
-12x = -5 + -19

Combine like terms: -5 + -19 = -24
-12x = -24

Divide each side by '-12'.
x = 2

Simplifying
x = 2

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