3(x+2)-(5-x)=3x+19

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Solution for 3(x+2)-(5-x)=3x+19 equation:


Simplifying
3(x + 2) + -1(5 + -1x) = 3x + 19

Reorder the terms:
3(2 + x) + -1(5 + -1x) = 3x + 19
(2 * 3 + x * 3) + -1(5 + -1x) = 3x + 19
(6 + 3x) + -1(5 + -1x) = 3x + 19
6 + 3x + (5 * -1 + -1x * -1) = 3x + 19
6 + 3x + (-5 + 1x) = 3x + 19

Reorder the terms:
6 + -5 + 3x + 1x = 3x + 19

Combine like terms: 6 + -5 = 1
1 + 3x + 1x = 3x + 19

Combine like terms: 3x + 1x = 4x
1 + 4x = 3x + 19

Reorder the terms:
1 + 4x = 19 + 3x

Solving
1 + 4x = 19 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 4x + -3x = 19 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
1 + 1x = 19 + 0
1 + 1x = 19

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

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

Combine like terms: 19 + -1 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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