64-(6x+8)=6(x+5)+x

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Solution for 64-(6x+8)=6(x+5)+x equation:


Simplifying
64 + -1(6x + 8) = 6(x + 5) + x

Reorder the terms:
64 + -1(8 + 6x) = 6(x + 5) + x
64 + (8 * -1 + 6x * -1) = 6(x + 5) + x
64 + (-8 + -6x) = 6(x + 5) + x

Combine like terms: 64 + -8 = 56
56 + -6x = 6(x + 5) + x

Reorder the terms:
56 + -6x = 6(5 + x) + x
56 + -6x = (5 * 6 + x * 6) + x
56 + -6x = (30 + 6x) + x

Combine like terms: 6x + x = 7x
56 + -6x = 30 + 7x

Solving
56 + -6x = 30 + 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.
56 + -6x + -7x = 30 + 7x + -7x

Combine like terms: -6x + -7x = -13x
56 + -13x = 30 + 7x + -7x

Combine like terms: 7x + -7x = 0
56 + -13x = 30 + 0
56 + -13x = 30

Add '-56' to each side of the equation.
56 + -56 + -13x = 30 + -56

Combine like terms: 56 + -56 = 0
0 + -13x = 30 + -56
-13x = 30 + -56

Combine like terms: 30 + -56 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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