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

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


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

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

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

Combine like terms: 19 + -2 = 17
1 + -1x = 17 + -6x

Solving
1 + -1x = 17 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
1 + -1x + 6x = 17 + -6x + 6x

Combine like terms: -1x + 6x = 5x
1 + 5x = 17 + -6x + 6x

Combine like terms: -6x + 6x = 0
1 + 5x = 17 + 0
1 + 5x = 17

Add '-1' to each side of the equation.
1 + -1 + 5x = 17 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 17 + -1
5x = 17 + -1

Combine like terms: 17 + -1 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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