67-(2x+6)=5x-2

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Solution for 67-(2x+6)=5x-2 equation:


Simplifying
67 + -1(2x + 6) = 5x + -2

Reorder the terms:
67 + -1(6 + 2x) = 5x + -2
67 + (6 * -1 + 2x * -1) = 5x + -2
67 + (-6 + -2x) = 5x + -2

Combine like terms: 67 + -6 = 61
61 + -2x = 5x + -2

Reorder the terms:
61 + -2x = -2 + 5x

Solving
61 + -2x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
61 + -2x + -5x = -2 + 5x + -5x

Combine like terms: -2x + -5x = -7x
61 + -7x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
61 + -7x = -2 + 0
61 + -7x = -2

Add '-61' to each side of the equation.
61 + -61 + -7x = -2 + -61

Combine like terms: 61 + -61 = 0
0 + -7x = -2 + -61
-7x = -2 + -61

Combine like terms: -2 + -61 = -63
-7x = -63

Divide each side by '-7'.
x = 9

Simplifying
x = 9

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