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

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


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

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

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

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

Combine like terms: 10 + 6 = 16
16 + -2x = 2x + 4

Reorder the terms:
16 + -2x = 4 + 2x

Solving
16 + -2x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + -2x + -2x = 4 + 2x + -2x

Combine like terms: -2x + -2x = -4x
16 + -4x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -4x = 4 + 0
16 + -4x = 4

Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16

Combine like terms: 4 + -16 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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