3(2x+1)+2(x+4)=19

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Solution for 3(2x+1)+2(x+4)=19 equation: 


Simplifying
3(2x + 1) + 2(x + 4) = 19

Reorder the terms:
3(1 + 2x) + 2(x + 4) = 19
(1 * 3 + 2x * 3) + 2(x + 4) = 19
(3 + 6x) + 2(x + 4) = 19

Reorder the terms:
3 + 6x + 2(4 + x) = 19
3 + 6x + (4 * 2 + x * 2) = 19
3 + 6x + (8 + 2x) = 19

Reorder the terms:
3 + 8 + 6x + 2x = 19

Combine like terms: 3 + 8 = 11
11 + 6x + 2x = 19

Combine like terms: 6x + 2x = 8x
11 + 8x = 19

Solving
11 + 8x = 19

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 8x = 19 + -11

Combine like terms: 11 + -11 = 0
0 + 8x = 19 + -11
8x = 19 + -11

Combine like terms: 19 + -11 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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