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

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


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

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

Combine like terms: 6 + 2 = 8
8 + -3x = 4(x + 4) + 6

Reorder the terms:
8 + -3x = 4(4 + x) + 6
8 + -3x = (4 * 4 + x * 4) + 6
8 + -3x = (16 + 4x) + 6

Reorder the terms:
8 + -3x = 16 + 6 + 4x

Combine like terms: 16 + 6 = 22
8 + -3x = 22 + 4x

Solving
8 + -3x = 22 + 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.
8 + -3x + -4x = 22 + 4x + -4x

Combine like terms: -3x + -4x = -7x
8 + -7x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -7x = 22 + 0
8 + -7x = 22

Add '-8' to each side of the equation.
8 + -8 + -7x = 22 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 22 + -8
-7x = 22 + -8

Combine like terms: 22 + -8 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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