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

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


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

Reorder the terms:
3(4 + x) + -5(x + -1) = 19
(4 * 3 + x * 3) + -5(x + -1) = 19
(12 + 3x) + -5(x + -1) = 19

Reorder the terms:
12 + 3x + -5(-1 + x) = 19
12 + 3x + (-1 * -5 + x * -5) = 19
12 + 3x + (5 + -5x) = 19

Reorder the terms:
12 + 5 + 3x + -5x = 19

Combine like terms: 12 + 5 = 17
17 + 3x + -5x = 19

Combine like terms: 3x + -5x = -2x
17 + -2x = 19

Solving
17 + -2x = 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 + -2x = 19 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 19 + -17
-2x = 19 + -17

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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