108-(6x+14)=6(x+7)+x

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Solution for 108-(6x+14)=6(x+7)+x equation:


Simplifying
108 + -1(6x + 14) = 6(x + 7) + x

Reorder the terms:
108 + -1(14 + 6x) = 6(x + 7) + x
108 + (14 * -1 + 6x * -1) = 6(x + 7) + x
108 + (-14 + -6x) = 6(x + 7) + x

Combine like terms: 108 + -14 = 94
94 + -6x = 6(x + 7) + x

Reorder the terms:
94 + -6x = 6(7 + x) + x
94 + -6x = (7 * 6 + x * 6) + x
94 + -6x = (42 + 6x) + x

Combine like terms: 6x + x = 7x
94 + -6x = 42 + 7x

Solving
94 + -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.
94 + -6x + -7x = 42 + 7x + -7x

Combine like terms: -6x + -7x = -13x
94 + -13x = 42 + 7x + -7x

Combine like terms: 7x + -7x = 0
94 + -13x = 42 + 0
94 + -13x = 42

Add '-94' to each side of the equation.
94 + -94 + -13x = 42 + -94

Combine like terms: 94 + -94 = 0
0 + -13x = 42 + -94
-13x = 42 + -94

Combine like terms: 42 + -94 = -52
-13x = -52

Divide each side by '-13'.
x = 4

Simplifying
x = 4

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