6(4x-8)-6=6(x-3)+90

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Solution for 6(4x-8)-6=6(x-3)+90 equation:


Simplifying
6(4x + -8) + -6 = 6(x + -3) + 90

Reorder the terms:
6(-8 + 4x) + -6 = 6(x + -3) + 90
(-8 * 6 + 4x * 6) + -6 = 6(x + -3) + 90
(-48 + 24x) + -6 = 6(x + -3) + 90

Reorder the terms:
-48 + -6 + 24x = 6(x + -3) + 90

Combine like terms: -48 + -6 = -54
-54 + 24x = 6(x + -3) + 90

Reorder the terms:
-54 + 24x = 6(-3 + x) + 90
-54 + 24x = (-3 * 6 + x * 6) + 90
-54 + 24x = (-18 + 6x) + 90

Reorder the terms:
-54 + 24x = -18 + 90 + 6x

Combine like terms: -18 + 90 = 72
-54 + 24x = 72 + 6x

Solving
-54 + 24x = 72 + 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.
-54 + 24x + -6x = 72 + 6x + -6x

Combine like terms: 24x + -6x = 18x
-54 + 18x = 72 + 6x + -6x

Combine like terms: 6x + -6x = 0
-54 + 18x = 72 + 0
-54 + 18x = 72

Add '54' to each side of the equation.
-54 + 54 + 18x = 72 + 54

Combine like terms: -54 + 54 = 0
0 + 18x = 72 + 54
18x = 72 + 54

Combine like terms: 72 + 54 = 126
18x = 126

Divide each side by '18'.
x = 7

Simplifying
x = 7

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