2x-3(x-2)=6+4x-10

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Solution for 2x-3(x-2)=6+4x-10 equation: 


Simplifying
2x + -3(x + -2) = 6 + 4x + -10

Reorder the terms:
2x + -3(-2 + x) = 6 + 4x + -10
2x + (-2 * -3 + x * -3) = 6 + 4x + -10
2x + (6 + -3x) = 6 + 4x + -10

Reorder the terms:
6 + 2x + -3x = 6 + 4x + -10

Combine like terms: 2x + -3x = -1x
6 + -1x = 6 + 4x + -10

Reorder the terms:
6 + -1x = 6 + -10 + 4x

Combine like terms: 6 + -10 = -4
6 + -1x = -4 + 4x

Solving
6 + -1x = -4 + 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.
6 + -1x + -4x = -4 + 4x + -4x

Combine like terms: -1x + -4x = -5x
6 + -5x = -4 + 4x + -4x

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

Add '-6' to each side of the equation.
6 + -6 + -5x = -4 + -6

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

Combine like terms: -4 + -6 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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