75-(6x+12)=6(x+4)+x

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Solution for 75-(6x+12)=6(x+4)+x equation:


Simplifying
75 + -1(6x + 12) = 6(x + 4) + x

Reorder the terms:
75 + -1(12 + 6x) = 6(x + 4) + x
75 + (12 * -1 + 6x * -1) = 6(x + 4) + x
75 + (-12 + -6x) = 6(x + 4) + x

Combine like terms: 75 + -12 = 63
63 + -6x = 6(x + 4) + x

Reorder the terms:
63 + -6x = 6(4 + x) + x
63 + -6x = (4 * 6 + x * 6) + x
63 + -6x = (24 + 6x) + x

Combine like terms: 6x + x = 7x
63 + -6x = 24 + 7x

Solving
63 + -6x = 24 + 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.
63 + -6x + -7x = 24 + 7x + -7x

Combine like terms: -6x + -7x = -13x
63 + -13x = 24 + 7x + -7x

Combine like terms: 7x + -7x = 0
63 + -13x = 24 + 0
63 + -13x = 24

Add '-63' to each side of the equation.
63 + -63 + -13x = 24 + -63

Combine like terms: 63 + -63 = 0
0 + -13x = 24 + -63
-13x = 24 + -63

Combine like terms: 24 + -63 = -39
-13x = -39

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

Simplifying
x = 3

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