6(4x-7)-5=6(x-3)+97

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Solution for 6(4x-7)-5=6(x-3)+97 equation:


Simplifying
6(4x + -7) + -5 = 6(x + -3) + 97

Reorder the terms:
6(-7 + 4x) + -5 = 6(x + -3) + 97
(-7 * 6 + 4x * 6) + -5 = 6(x + -3) + 97
(-42 + 24x) + -5 = 6(x + -3) + 97

Reorder the terms:
-42 + -5 + 24x = 6(x + -3) + 97

Combine like terms: -42 + -5 = -47
-47 + 24x = 6(x + -3) + 97

Reorder the terms:
-47 + 24x = 6(-3 + x) + 97
-47 + 24x = (-3 * 6 + x * 6) + 97
-47 + 24x = (-18 + 6x) + 97

Reorder the terms:
-47 + 24x = -18 + 97 + 6x

Combine like terms: -18 + 97 = 79
-47 + 24x = 79 + 6x

Solving
-47 + 24x = 79 + 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 = 79 + 6x + -6x

Combine like terms: 24x + -6x = 18x
-47 + 18x = 79 + 6x + -6x

Combine like terms: 6x + -6x = 0
-47 + 18x = 79 + 0
-47 + 18x = 79

Add '47' to each side of the equation.
-47 + 47 + 18x = 79 + 47

Combine like terms: -47 + 47 = 0
0 + 18x = 79 + 47
18x = 79 + 47

Combine like terms: 79 + 47 = 126
18x = 126

Divide each side by '18'.
x = 7

Simplifying
x = 7

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