10-(2x-6)=2-3x

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Solution for 10-(2x-6)=2-3x equation:


Simplifying
10 + -1(2x + -6) = 2 + -3x

Reorder the terms:
10 + -1(-6 + 2x) = 2 + -3x
10 + (-6 * -1 + 2x * -1) = 2 + -3x
10 + (6 + -2x) = 2 + -3x

Combine like terms: 10 + 6 = 16
16 + -2x = 2 + -3x

Solving
16 + -2x = 2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
16 + -2x + 3x = 2 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
16 + 1x = 2 + 0
16 + 1x = 2

Add '-16' to each side of the equation.
16 + -16 + 1x = 2 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = 2 + -16
1x = 2 + -16

Combine like terms: 2 + -16 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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