12=3(x+5)-(x-1)

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Solution for 12=3(x+5)-(x-1) equation: 


Simplifying
12 = 3(x + 5) + -1(x + -1)

Reorder the terms:
12 = 3(5 + x) + -1(x + -1)
12 = (5 * 3 + x * 3) + -1(x + -1)
12 = (15 + 3x) + -1(x + -1)

Reorder the terms:
12 = 15 + 3x + -1(-1 + x)
12 = 15 + 3x + (-1 * -1 + x * -1)
12 = 15 + 3x + (1 + -1x)

Reorder the terms:
12 = 15 + 1 + 3x + -1x

Combine like terms: 15 + 1 = 16
12 = 16 + 3x + -1x

Combine like terms: 3x + -1x = 2x
12 = 16 + 2x

Solving
12 = 16 + 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.
12 + -2x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -2x = 16 + 0
12 + -2x = 16

Add '-12' to each side of the equation.
12 + -12 + -2x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 16 + -12
-2x = 16 + -12

Combine like terms: 16 + -12 = 4
-2x = 4

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

Simplifying
x = -2

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