4-(2x+6)=(3x+1)(2)-6

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Solution for 4-(2x+6)=(3x+1)(2)-6 equation:


Simplifying
4 + -1(2x + 6) = (3x + 1)(2) + -6

Reorder the terms:
4 + -1(6 + 2x) = (3x + 1)(2) + -6
4 + (6 * -1 + 2x * -1) = (3x + 1)(2) + -6
4 + (-6 + -2x) = (3x + 1)(2) + -6

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

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

Reorder the terms for easier multiplication:
-2 + -2x = 2(1 + 3x) + -6
-2 + -2x = (1 * 2 + 3x * 2) + -6
-2 + -2x = (2 + 6x) + -6

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

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

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

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + -2x + -6x = -4 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-2 + -8x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -8x = -4 + 0
-2 + -8x = -4

Add '2' to each side of the equation.
-2 + 2 + -8x = -4 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = -4 + 2
-8x = -4 + 2

Combine like terms: -4 + 2 = -2
-8x = -2

Divide each side by '-8'.
x = 0.25

Simplifying
x = 0.25

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