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

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


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

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

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

Solving
2 + -6x = 10 + -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.
2 + -6x + 4x = 10 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
2 + -2x = 10 + 0
2 + -2x = 10

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

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

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

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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