4(3x-6)-8x=6x+10

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Solution for 4(3x-6)-8x=6x+10 equation:


Simplifying
4(3x + -6) + -8x = 6x + 10

Reorder the terms:
4(-6 + 3x) + -8x = 6x + 10
(-6 * 4 + 3x * 4) + -8x = 6x + 10
(-24 + 12x) + -8x = 6x + 10

Combine like terms: 12x + -8x = 4x
-24 + 4x = 6x + 10

Reorder the terms:
-24 + 4x = 10 + 6x

Solving
-24 + 4x = 10 + 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.
-24 + 4x + -6x = 10 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-24 + -2x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + -2x = 10 + 0
-24 + -2x = 10

Add '24' to each side of the equation.
-24 + 24 + -2x = 10 + 24

Combine like terms: -24 + 24 = 0
0 + -2x = 10 + 24
-2x = 10 + 24

Combine like terms: 10 + 24 = 34
-2x = 34

Divide each side by '-2'.
x = -17

Simplifying
x = -17

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