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

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


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

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

Combine like terms: -1 + -3 = -4
-4 + 3x = (x + -2) + -15

Reorder the terms:
-4 + 3x = (-2 + x) + -15

Remove parenthesis around (-2 + x)
-4 + 3x = -2 + x + -15

Reorder the terms:
-4 + 3x = -2 + -15 + x

Combine like terms: -2 + -15 = -17
-4 + 3x = -17 + x

Solving
-4 + 3x = -17 + x

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.
-4 + 3x + -1x = -17 + x + -1x

Combine like terms: 3x + -1x = 2x
-4 + 2x = -17 + x + -1x

Combine like terms: x + -1x = 0
-4 + 2x = -17 + 0
-4 + 2x = -17

Add '4' to each side of the equation.
-4 + 4 + 2x = -17 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = -17 + 4
2x = -17 + 4

Combine like terms: -17 + 4 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5

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