3(x-1)+2(x+6)=19

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Solution for 3(x-1)+2(x+6)=19 equation: 


Simplifying
3(x + -1) + 2(x + 6) = 19

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

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

Reorder the terms:
-3 + 12 + 3x + 2x = 19

Combine like terms: -3 + 12 = 9
9 + 3x + 2x = 19

Combine like terms: 3x + 2x = 5x
9 + 5x = 19

Solving
9 + 5x = 19

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 5x = 19 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 19 + -9
5x = 19 + -9

Combine like terms: 19 + -9 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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