12-(6-x)=41-7x

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Solution for 12-(6-x)=41-7x equation:


Simplifying
12 + -1(6 + -1x) = 41 + -7x
12 + (6 * -1 + -1x * -1) = 41 + -7x
12 + (-6 + 1x) = 41 + -7x

Combine like terms: 12 + -6 = 6
6 + 1x = 41 + -7x

Solving
6 + 1x = 41 + -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.
6 + 1x + 7x = 41 + -7x + 7x

Combine like terms: 1x + 7x = 8x
6 + 8x = 41 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 8x = 41 + 0
6 + 8x = 41

Add '-6' to each side of the equation.
6 + -6 + 8x = 41 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 41 + -6
8x = 41 + -6

Combine like terms: 41 + -6 = 35
8x = 35

Divide each side by '8'.
x = 4.375

Simplifying
x = 4.375

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