93-(6x+12)=6(x+7)+x

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Solution for 93-(6x+12)=6(x+7)+x equation:


Simplifying
93 + -1(6x + 12) = 6(x + 7) + x

Reorder the terms:
93 + -1(12 + 6x) = 6(x + 7) + x
93 + (12 * -1 + 6x * -1) = 6(x + 7) + x
93 + (-12 + -6x) = 6(x + 7) + x

Combine like terms: 93 + -12 = 81
81 + -6x = 6(x + 7) + x

Reorder the terms:
81 + -6x = 6(7 + x) + x
81 + -6x = (7 * 6 + x * 6) + x
81 + -6x = (42 + 6x) + x

Combine like terms: 6x + x = 7x
81 + -6x = 42 + 7x

Solving
81 + -6x = 42 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
81 + -6x + -7x = 42 + 7x + -7x

Combine like terms: -6x + -7x = -13x
81 + -13x = 42 + 7x + -7x

Combine like terms: 7x + -7x = 0
81 + -13x = 42 + 0
81 + -13x = 42

Add '-81' to each side of the equation.
81 + -81 + -13x = 42 + -81

Combine like terms: 81 + -81 = 0
0 + -13x = 42 + -81
-13x = 42 + -81

Combine like terms: 42 + -81 = -39
-13x = -39

Divide each side by '-13'.
x = 3

Simplifying
x = 3

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