6(4x-8)-4=6(x-4)+98

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Solution for 6(4x-8)-4=6(x-4)+98 equation:


Simplifying
6(4x + -8) + -4 = 6(x + -4) + 98

Reorder the terms:
6(-8 + 4x) + -4 = 6(x + -4) + 98
(-8 * 6 + 4x * 6) + -4 = 6(x + -4) + 98
(-48 + 24x) + -4 = 6(x + -4) + 98

Reorder the terms:
-48 + -4 + 24x = 6(x + -4) + 98

Combine like terms: -48 + -4 = -52
-52 + 24x = 6(x + -4) + 98

Reorder the terms:
-52 + 24x = 6(-4 + x) + 98
-52 + 24x = (-4 * 6 + x * 6) + 98
-52 + 24x = (-24 + 6x) + 98

Reorder the terms:
-52 + 24x = -24 + 98 + 6x

Combine like terms: -24 + 98 = 74
-52 + 24x = 74 + 6x

Solving
-52 + 24x = 74 + 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.
-52 + 24x + -6x = 74 + 6x + -6x

Combine like terms: 24x + -6x = 18x
-52 + 18x = 74 + 6x + -6x

Combine like terms: 6x + -6x = 0
-52 + 18x = 74 + 0
-52 + 18x = 74

Add '52' to each side of the equation.
-52 + 52 + 18x = 74 + 52

Combine like terms: -52 + 52 = 0
0 + 18x = 74 + 52
18x = 74 + 52

Combine like terms: 74 + 52 = 126
18x = 126

Divide each side by '18'.
x = 7

Simplifying
x = 7

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