6(4x-2)-8x=4(x-10)-8

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Solution for 6(4x-2)-8x=4(x-10)-8 equation:


Simplifying
6(4x + -2) + -8x = 4(x + -10) + -8

Reorder the terms:
6(-2 + 4x) + -8x = 4(x + -10) + -8
(-2 * 6 + 4x * 6) + -8x = 4(x + -10) + -8
(-12 + 24x) + -8x = 4(x + -10) + -8

Combine like terms: 24x + -8x = 16x
-12 + 16x = 4(x + -10) + -8

Reorder the terms:
-12 + 16x = 4(-10 + x) + -8
-12 + 16x = (-10 * 4 + x * 4) + -8
-12 + 16x = (-40 + 4x) + -8

Reorder the terms:
-12 + 16x = -40 + -8 + 4x

Combine like terms: -40 + -8 = -48
-12 + 16x = -48 + 4x

Solving
-12 + 16x = -48 + 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.
-12 + 16x + -4x = -48 + 4x + -4x

Combine like terms: 16x + -4x = 12x
-12 + 12x = -48 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 12x = -48 + 0
-12 + 12x = -48

Add '12' to each side of the equation.
-12 + 12 + 12x = -48 + 12

Combine like terms: -12 + 12 = 0
0 + 12x = -48 + 12
12x = -48 + 12

Combine like terms: -48 + 12 = -36
12x = -36

Divide each side by '12'.
x = -3

Simplifying
x = -3

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