6(4x-8)-2=6(x-3)+76

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Solution for 6(4x-8)-2=6(x-3)+76 equation:


Simplifying
6(4x + -8) + -2 = 6(x + -3) + 76

Reorder the terms:
6(-8 + 4x) + -2 = 6(x + -3) + 76
(-8 * 6 + 4x * 6) + -2 = 6(x + -3) + 76
(-48 + 24x) + -2 = 6(x + -3) + 76

Reorder the terms:
-48 + -2 + 24x = 6(x + -3) + 76

Combine like terms: -48 + -2 = -50
-50 + 24x = 6(x + -3) + 76

Reorder the terms:
-50 + 24x = 6(-3 + x) + 76
-50 + 24x = (-3 * 6 + x * 6) + 76
-50 + 24x = (-18 + 6x) + 76

Reorder the terms:
-50 + 24x = -18 + 76 + 6x

Combine like terms: -18 + 76 = 58
-50 + 24x = 58 + 6x

Solving
-50 + 24x = 58 + 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.
-50 + 24x + -6x = 58 + 6x + -6x

Combine like terms: 24x + -6x = 18x
-50 + 18x = 58 + 6x + -6x

Combine like terms: 6x + -6x = 0
-50 + 18x = 58 + 0
-50 + 18x = 58

Add '50' to each side of the equation.
-50 + 50 + 18x = 58 + 50

Combine like terms: -50 + 50 = 0
0 + 18x = 58 + 50
18x = 58 + 50

Combine like terms: 58 + 50 = 108
18x = 108

Divide each side by '18'.
x = 6

Simplifying
x = 6

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