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

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


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

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

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

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

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

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

Solving
15 + -3x = -1 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
15 + -3x + -1x = -1 + 1x + -1x

Combine like terms: -3x + -1x = -4x
15 + -4x = -1 + 1x + -1x

Combine like terms: 1x + -1x = 0
15 + -4x = -1 + 0
15 + -4x = -1

Add '-15' to each side of the equation.
15 + -15 + -4x = -1 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -1 + -15
-4x = -1 + -15

Combine like terms: -1 + -15 = -16
-4x = -16

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

Simplifying
x = 4

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