7-3(x-6)=6x-2

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Solution for 7-3(x-6)=6x-2 equation:


Simplifying
7 + -3(x + -6) = 6x + -2

Reorder the terms:
7 + -3(-6 + x) = 6x + -2
7 + (-6 * -3 + x * -3) = 6x + -2
7 + (18 + -3x) = 6x + -2

Combine like terms: 7 + 18 = 25
25 + -3x = 6x + -2

Reorder the terms:
25 + -3x = -2 + 6x

Solving
25 + -3x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
25 + -3x + -6x = -2 + 6x + -6x

Combine like terms: -3x + -6x = -9x
25 + -9x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
25 + -9x = -2 + 0
25 + -9x = -2

Add '-25' to each side of the equation.
25 + -25 + -9x = -2 + -25

Combine like terms: 25 + -25 = 0
0 + -9x = -2 + -25
-9x = -2 + -25

Combine like terms: -2 + -25 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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