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

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


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

Reorder the terms:
3(5 + x) + -2(x + -1) = 19
(5 * 3 + x * 3) + -2(x + -1) = 19
(15 + 3x) + -2(x + -1) = 19

Reorder the terms:
15 + 3x + -2(-1 + x) = 19
15 + 3x + (-1 * -2 + x * -2) = 19
15 + 3x + (2 + -2x) = 19

Reorder the terms:
15 + 2 + 3x + -2x = 19

Combine like terms: 15 + 2 = 17
17 + 3x + -2x = 19

Combine like terms: 3x + -2x = 1x
17 + 1x = 19

Solving
17 + 1x = 19

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 1x = 19 + -17

Combine like terms: 17 + -17 = 0
0 + 1x = 19 + -17
1x = 19 + -17

Combine like terms: 19 + -17 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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