8-3x=7x-2(3-x)

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Solution for 8-3x=7x-2(3-x) equation:


Simplifying
8 + -3x = 7x + -2(3 + -1x)
8 + -3x = 7x + (3 * -2 + -1x * -2)
8 + -3x = 7x + (-6 + 2x)

Reorder the terms:
8 + -3x = -6 + 7x + 2x

Combine like terms: 7x + 2x = 9x
8 + -3x = -6 + 9x

Solving
8 + -3x = -6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
8 + -3x + -9x = -6 + 9x + -9x

Combine like terms: -3x + -9x = -12x
8 + -12x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -12x = -6 + 0
8 + -12x = -6

Add '-8' to each side of the equation.
8 + -8 + -12x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -12x = -6 + -8
-12x = -6 + -8

Combine like terms: -6 + -8 = -14
-12x = -14

Divide each side by '-12'.
x = 1.166666667

Simplifying
x = 1.166666667

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