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

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


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

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

Combine like terms: 2x + x = 3x
4 + 3x = 19 + -1(2x + 3)

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

Combine like terms: 19 + -3 = 16
4 + 3x = 16 + -2x

Solving
4 + 3x = 16 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
4 + 3x + 2x = 16 + -2x + 2x

Combine like terms: 3x + 2x = 5x
4 + 5x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 5x = 16 + 0
4 + 5x = 16

Add '-4' to each side of the equation.
4 + -4 + 5x = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 16 + -4
5x = 16 + -4

Combine like terms: 16 + -4 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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