12x-7=11(x+9)-1

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Solution for 12x-7=11(x+9)-1 equation:


Simplifying
12x + -7 = 11(x + 9) + -1

Reorder the terms:
-7 + 12x = 11(x + 9) + -1

Reorder the terms:
-7 + 12x = 11(9 + x) + -1
-7 + 12x = (9 * 11 + x * 11) + -1
-7 + 12x = (99 + 11x) + -1

Reorder the terms:
-7 + 12x = 99 + -1 + 11x

Combine like terms: 99 + -1 = 98
-7 + 12x = 98 + 11x

Solving
-7 + 12x = 98 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-7 + 12x + -11x = 98 + 11x + -11x

Combine like terms: 12x + -11x = 1x
-7 + 1x = 98 + 11x + -11x

Combine like terms: 11x + -11x = 0
-7 + 1x = 98 + 0
-7 + 1x = 98

Add '7' to each side of the equation.
-7 + 7 + 1x = 98 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 98 + 7
1x = 98 + 7

Combine like terms: 98 + 7 = 105
1x = 105

Divide each side by '1'.
x = 105

Simplifying
x = 105

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