2(1+2x)+5(4-x)=19

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Solution for 2(1+2x)+5(4-x)=19 equation: 


Simplifying
2(1 + 2x) + 5(4 + -1x) = 19
(1 * 2 + 2x * 2) + 5(4 + -1x) = 19
(2 + 4x) + 5(4 + -1x) = 19
2 + 4x + (4 * 5 + -1x * 5) = 19
2 + 4x + (20 + -5x) = 19

Reorder the terms:
2 + 20 + 4x + -5x = 19

Combine like terms: 2 + 20 = 22
22 + 4x + -5x = 19

Combine like terms: 4x + -5x = -1x
22 + -1x = 19

Solving
22 + -1x = 19

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 19 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 19 + -22
-1x = 19 + -22

Combine like terms: 19 + -22 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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