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

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


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

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

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

Combine like terms: 10x + -6x = 4x
10 + 4x = 2 + 3x

Solving
10 + 4x = 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.
10 + 4x + -3x = 2 + 3x + -3x

Combine like terms: 4x + -3x = 1x
10 + 1x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 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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