6(4x-8)-3=6(x-2)+69

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Solution for 6(4x-8)-3=6(x-2)+69 equation:


Simplifying
6(4x + -8) + -3 = 6(x + -2) + 69

Reorder the terms:
6(-8 + 4x) + -3 = 6(x + -2) + 69
(-8 * 6 + 4x * 6) + -3 = 6(x + -2) + 69
(-48 + 24x) + -3 = 6(x + -2) + 69

Reorder the terms:
-48 + -3 + 24x = 6(x + -2) + 69

Combine like terms: -48 + -3 = -51
-51 + 24x = 6(x + -2) + 69

Reorder the terms:
-51 + 24x = 6(-2 + x) + 69
-51 + 24x = (-2 * 6 + x * 6) + 69
-51 + 24x = (-12 + 6x) + 69

Reorder the terms:
-51 + 24x = -12 + 69 + 6x

Combine like terms: -12 + 69 = 57
-51 + 24x = 57 + 6x

Solving
-51 + 24x = 57 + 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.
-51 + 24x + -6x = 57 + 6x + -6x

Combine like terms: 24x + -6x = 18x
-51 + 18x = 57 + 6x + -6x

Combine like terms: 6x + -6x = 0
-51 + 18x = 57 + 0
-51 + 18x = 57

Add '51' to each side of the equation.
-51 + 51 + 18x = 57 + 51

Combine like terms: -51 + 51 = 0
0 + 18x = 57 + 51
18x = 57 + 51

Combine like terms: 57 + 51 = 108
18x = 108

Divide each side by '18'.
x = 6

Simplifying
x = 6

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