11-(6x-7)=2x-46

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Solution for 11-(6x-7)=2x-46 equation:


Simplifying
11 + -1(6x + -7) = 2x + -46

Reorder the terms:
11 + -1(-7 + 6x) = 2x + -46
11 + (-7 * -1 + 6x * -1) = 2x + -46
11 + (7 + -6x) = 2x + -46

Combine like terms: 11 + 7 = 18
18 + -6x = 2x + -46

Reorder the terms:
18 + -6x = -46 + 2x

Solving
18 + -6x = -46 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
18 + -6x + -2x = -46 + 2x + -2x

Combine like terms: -6x + -2x = -8x
18 + -8x = -46 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -8x = -46 + 0
18 + -8x = -46

Add '-18' to each side of the equation.
18 + -18 + -8x = -46 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = -46 + -18
-8x = -46 + -18

Combine like terms: -46 + -18 = -64
-8x = -64

Divide each side by '-8'.
x = 8

Simplifying
x = 8

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