x-43=6(2x+3)-6

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Solution for x-43=6(2x+3)-6 equation:


Simplifying
x + -43 = 6(2x + 3) + -6

Reorder the terms:
-43 + x = 6(2x + 3) + -6

Reorder the terms:
-43 + x = 6(3 + 2x) + -6
-43 + x = (3 * 6 + 2x * 6) + -6
-43 + x = (18 + 12x) + -6

Reorder the terms:
-43 + x = 18 + -6 + 12x

Combine like terms: 18 + -6 = 12
-43 + x = 12 + 12x

Solving
-43 + x = 12 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-43 + x + -12x = 12 + 12x + -12x

Combine like terms: x + -12x = -11x
-43 + -11x = 12 + 12x + -12x

Combine like terms: 12x + -12x = 0
-43 + -11x = 12 + 0
-43 + -11x = 12

Add '43' to each side of the equation.
-43 + 43 + -11x = 12 + 43

Combine like terms: -43 + 43 = 0
0 + -11x = 12 + 43
-11x = 12 + 43

Combine like terms: 12 + 43 = 55
-11x = 55

Divide each side by '-11'.
x = -5

Simplifying
x = -5

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