6(x-4)+2x=3x-8+x

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Solution for 6(x-4)+2x=3x-8+x equation:


Simplifying
6(x + -4) + 2x = 3x + -8 + x

Reorder the terms:
6(-4 + x) + 2x = 3x + -8 + x
(-4 * 6 + x * 6) + 2x = 3x + -8 + x
(-24 + 6x) + 2x = 3x + -8 + x

Combine like terms: 6x + 2x = 8x
-24 + 8x = 3x + -8 + x

Reorder the terms:
-24 + 8x = -8 + 3x + x

Combine like terms: 3x + x = 4x
-24 + 8x = -8 + 4x

Solving
-24 + 8x = -8 + 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.
-24 + 8x + -4x = -8 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-24 + 4x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + 4x = -8 + 0
-24 + 4x = -8

Add '24' to each side of the equation.
-24 + 24 + 4x = -8 + 24

Combine like terms: -24 + 24 = 0
0 + 4x = -8 + 24
4x = -8 + 24

Combine like terms: -8 + 24 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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