12-3(x-7)=6x-3

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Solution for 12-3(x-7)=6x-3 equation:


Simplifying
12 + -3(x + -7) = 6x + -3

Reorder the terms:
12 + -3(-7 + x) = 6x + -3
12 + (-7 * -3 + x * -3) = 6x + -3
12 + (21 + -3x) = 6x + -3

Combine like terms: 12 + 21 = 33
33 + -3x = 6x + -3

Reorder the terms:
33 + -3x = -3 + 6x

Solving
33 + -3x = -3 + 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.
33 + -3x + -6x = -3 + 6x + -6x

Combine like terms: -3x + -6x = -9x
33 + -9x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
33 + -9x = -3 + 0
33 + -9x = -3

Add '-33' to each side of the equation.
33 + -33 + -9x = -3 + -33

Combine like terms: 33 + -33 = 0
0 + -9x = -3 + -33
-9x = -3 + -33

Combine like terms: -3 + -33 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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