106-(6x+10)=6(x+3)+x

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Solution for 106-(6x+10)=6(x+3)+x equation:


Simplifying
106 + -1(6x + 10) = 6(x + 3) + x

Reorder the terms:
106 + -1(10 + 6x) = 6(x + 3) + x
106 + (10 * -1 + 6x * -1) = 6(x + 3) + x
106 + (-10 + -6x) = 6(x + 3) + x

Combine like terms: 106 + -10 = 96
96 + -6x = 6(x + 3) + x

Reorder the terms:
96 + -6x = 6(3 + x) + x
96 + -6x = (3 * 6 + x * 6) + x
96 + -6x = (18 + 6x) + x

Combine like terms: 6x + x = 7x
96 + -6x = 18 + 7x

Solving
96 + -6x = 18 + 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.
96 + -6x + -7x = 18 + 7x + -7x

Combine like terms: -6x + -7x = -13x
96 + -13x = 18 + 7x + -7x

Combine like terms: 7x + -7x = 0
96 + -13x = 18 + 0
96 + -13x = 18

Add '-96' to each side of the equation.
96 + -96 + -13x = 18 + -96

Combine like terms: 96 + -96 = 0
0 + -13x = 18 + -96
-13x = 18 + -96

Combine like terms: 18 + -96 = -78
-13x = -78

Divide each side by '-13'.
x = 6

Simplifying
x = 6

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