14x+12-15x=3x-(x-6)

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Solution for 14x+12-15x=3x-(x-6) equation:


Simplifying
14x + 12 + -15x = 3x + -1(x + -6)

Reorder the terms:
12 + 14x + -15x = 3x + -1(x + -6)

Combine like terms: 14x + -15x = -1x
12 + -1x = 3x + -1(x + -6)

Reorder the terms:
12 + -1x = 3x + -1(-6 + x)
12 + -1x = 3x + (-6 * -1 + x * -1)
12 + -1x = 3x + (6 + -1x)

Reorder the terms:
12 + -1x = 6 + 3x + -1x

Combine like terms: 3x + -1x = 2x
12 + -1x = 6 + 2x

Solving
12 + -1x = 6 + 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 + -1x + -2x = 6 + 2x + -2x

Combine like terms: -1x + -2x = -3x
12 + -3x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -3x = 6 + 0
12 + -3x = 6

Add '-12' to each side of the equation.
12 + -12 + -3x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 6 + -12
-3x = 6 + -12

Combine like terms: 6 + -12 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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