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

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


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

Reorder the terms:
10 + -6x = -4(-2 + x) + 6
10 + -6x = (-2 * -4 + x * -4) + 6
10 + -6x = (8 + -4x) + 6

Reorder the terms:
10 + -6x = 8 + 6 + -4x

Combine like terms: 8 + 6 = 14
10 + -6x = 14 + -4x

Solving
10 + -6x = 14 + -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.
10 + -6x + 4x = 14 + -4x + 4x

Combine like terms: -6x + 4x = -2x
10 + -2x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + -2x = 14 + 0
10 + -2x = 14

Add '-10' to each side of the equation.
10 + -10 + -2x = 14 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 14 + -10
-2x = 14 + -10

Combine like terms: 14 + -10 = 4
-2x = 4

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

Simplifying
x = -2

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