(3x+2)-(x-1)=6x+15

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Solution for (3x+2)-(x-1)=6x+15 equation:


Simplifying
(3x + 2) + -1(x + -1) = 6x + 15

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

Remove parenthesis around (2 + 3x)
2 + 3x + -1(x + -1) = 6x + 15

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

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

Combine like terms: 2 + 1 = 3
3 + 3x + -1x = 6x + 15

Combine like terms: 3x + -1x = 2x
3 + 2x = 6x + 15

Reorder the terms:
3 + 2x = 15 + 6x

Solving
3 + 2x = 15 + 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.
3 + 2x + -6x = 15 + 6x + -6x

Combine like terms: 2x + -6x = -4x
3 + -4x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -4x = 15 + 0
3 + -4x = 15

Add '-3' to each side of the equation.
3 + -3 + -4x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 15 + -3
-4x = 15 + -3

Combine like terms: 15 + -3 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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