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

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Solution for (2x+5)-(-3x+1)=19 equation:


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

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

Remove parenthesis around (5 + 2x)
5 + 2x + -1(-3x + 1) = 19

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

Reorder the terms:
5 + -1 + 2x + 3x = 19

Combine like terms: 5 + -1 = 4
4 + 2x + 3x = 19

Combine like terms: 2x + 3x = 5x
4 + 5x = 19

Solving
4 + 5x = 19

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 19 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 19 + -4
5x = 19 + -4

Combine like terms: 19 + -4 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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