10-3x+2+12x=7+3x-1+x

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Solution for 10-3x+2+12x=7+3x-1+x equation:


Simplifying
10 + -3x + 2 + 12x = 7 + 3x + -1 + x

Reorder the terms:
10 + 2 + -3x + 12x = 7 + 3x + -1 + x

Combine like terms: 10 + 2 = 12
12 + -3x + 12x = 7 + 3x + -1 + x

Combine like terms: -3x + 12x = 9x
12 + 9x = 7 + 3x + -1 + x

Reorder the terms:
12 + 9x = 7 + -1 + 3x + x

Combine like terms: 7 + -1 = 6
12 + 9x = 6 + 3x + x

Combine like terms: 3x + x = 4x
12 + 9x = 6 + 4x

Solving
12 + 9x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 9x + -4x = 6 + 4x + -4x

Combine like terms: 9x + -4x = 5x
12 + 5x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 5x = 6 + 0
12 + 5x = 6

Add '-12' to each side of the equation.
12 + -12 + 5x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 6 + -12
5x = 6 + -12

Combine like terms: 6 + -12 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

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