3(x-8)+2(x+4)=19

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Solution for 3(x-8)+2(x+4)=19 equation: 


Simplifying
3(x + -8) + 2(x + 4) = 19

Reorder the terms:
3(-8 + x) + 2(x + 4) = 19
(-8 * 3 + x * 3) + 2(x + 4) = 19
(-24 + 3x) + 2(x + 4) = 19

Reorder the terms:
-24 + 3x + 2(4 + x) = 19
-24 + 3x + (4 * 2 + x * 2) = 19
-24 + 3x + (8 + 2x) = 19

Reorder the terms:
-24 + 8 + 3x + 2x = 19

Combine like terms: -24 + 8 = -16
-16 + 3x + 2x = 19

Combine like terms: 3x + 2x = 5x
-16 + 5x = 19

Solving
-16 + 5x = 19

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 5x = 19 + 16

Combine like terms: -16 + 16 = 0
0 + 5x = 19 + 16
5x = 19 + 16

Combine like terms: 19 + 16 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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