6(4x-7)-5=6(x-4)+85

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Solution for 6(4x-7)-5=6(x-4)+85 equation:


Simplifying
6(4x + -7) + -5 = 6(x + -4) + 85

Reorder the terms:
6(-7 + 4x) + -5 = 6(x + -4) + 85
(-7 * 6 + 4x * 6) + -5 = 6(x + -4) + 85
(-42 + 24x) + -5 = 6(x + -4) + 85

Reorder the terms:
-42 + -5 + 24x = 6(x + -4) + 85

Combine like terms: -42 + -5 = -47
-47 + 24x = 6(x + -4) + 85

Reorder the terms:
-47 + 24x = 6(-4 + x) + 85
-47 + 24x = (-4 * 6 + x * 6) + 85
-47 + 24x = (-24 + 6x) + 85

Reorder the terms:
-47 + 24x = -24 + 85 + 6x

Combine like terms: -24 + 85 = 61
-47 + 24x = 61 + 6x

Solving
-47 + 24x = 61 + 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.
-47 + 24x + -6x = 61 + 6x + -6x

Combine like terms: 24x + -6x = 18x
-47 + 18x = 61 + 6x + -6x

Combine like terms: 6x + -6x = 0
-47 + 18x = 61 + 0
-47 + 18x = 61

Add '47' to each side of the equation.
-47 + 47 + 18x = 61 + 47

Combine like terms: -47 + 47 = 0
0 + 18x = 61 + 47
18x = 61 + 47

Combine like terms: 61 + 47 = 108
18x = 108

Divide each side by '18'.
x = 6

Simplifying
x = 6

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