3(x+2)+15=2(x-1)-19

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Solution for 3(x+2)+15=2(x-1)-19 equation:


Simplifying
3(x + 2) + 15 = 2(x + -1) + -19

Reorder the terms:
3(2 + x) + 15 = 2(x + -1) + -19
(2 * 3 + x * 3) + 15 = 2(x + -1) + -19
(6 + 3x) + 15 = 2(x + -1) + -19

Reorder the terms:
6 + 15 + 3x = 2(x + -1) + -19

Combine like terms: 6 + 15 = 21
21 + 3x = 2(x + -1) + -19

Reorder the terms:
21 + 3x = 2(-1 + x) + -19
21 + 3x = (-1 * 2 + x * 2) + -19
21 + 3x = (-2 + 2x) + -19

Reorder the terms:
21 + 3x = -2 + -19 + 2x

Combine like terms: -2 + -19 = -21
21 + 3x = -21 + 2x

Solving
21 + 3x = -21 + 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.
21 + 3x + -2x = -21 + 2x + -2x

Combine like terms: 3x + -2x = 1x
21 + 1x = -21 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + 1x = -21 + 0
21 + 1x = -21

Add '-21' to each side of the equation.
21 + -21 + 1x = -21 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = -21 + -21
1x = -21 + -21

Combine like terms: -21 + -21 = -42
1x = -42

Divide each side by '1'.
x = -42

Simplifying
x = -42

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