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

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


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

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

Reorder the terms:
10 + 10x + -3x = 2 + 6x

Combine like terms: 10x + -3x = 7x
10 + 7x = 2 + 6x

Solving
10 + 7x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + 7x + -6x = 2 + 6x + -6x

Combine like terms: 7x + -6x = 1x
10 + 1x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + 1x = 2 + 0
10 + 1x = 2

Add '-10' to each side of the equation.
10 + -10 + 1x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 2 + -10
1x = 2 + -10

Combine like terms: 2 + -10 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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