64-(6x+7)=6(x+3)+x

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Solution for 64-(6x+7)=6(x+3)+x equation:


Simplifying
64 + -1(6x + 7) = 6(x + 3) + x

Reorder the terms:
64 + -1(7 + 6x) = 6(x + 3) + x
64 + (7 * -1 + 6x * -1) = 6(x + 3) + x
64 + (-7 + -6x) = 6(x + 3) + x

Combine like terms: 64 + -7 = 57
57 + -6x = 6(x + 3) + x

Reorder the terms:
57 + -6x = 6(3 + x) + x
57 + -6x = (3 * 6 + x * 6) + x
57 + -6x = (18 + 6x) + x

Combine like terms: 6x + x = 7x
57 + -6x = 18 + 7x

Solving
57 + -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.
57 + -6x + -7x = 18 + 7x + -7x

Combine like terms: -6x + -7x = -13x
57 + -13x = 18 + 7x + -7x

Combine like terms: 7x + -7x = 0
57 + -13x = 18 + 0
57 + -13x = 18

Add '-57' to each side of the equation.
57 + -57 + -13x = 18 + -57

Combine like terms: 57 + -57 = 0
0 + -13x = 18 + -57
-13x = 18 + -57

Combine like terms: 18 + -57 = -39
-13x = -39

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

Simplifying
x = 3

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