x-7=33-11(x-8)

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Solution for x-7=33-11(x-8) equation:


Simplifying
x + -7 = 33 + -11(x + -8)

Reorder the terms:
-7 + x = 33 + -11(x + -8)

Reorder the terms:
-7 + x = 33 + -11(-8 + x)
-7 + x = 33 + (-8 * -11 + x * -11)
-7 + x = 33 + (88 + -11x)

Combine like terms: 33 + 88 = 121
-7 + x = 121 + -11x

Solving
-7 + x = 121 + -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 + x + 11x = 121 + -11x + 11x

Combine like terms: x + 11x = 12x
-7 + 12x = 121 + -11x + 11x

Combine like terms: -11x + 11x = 0
-7 + 12x = 121 + 0
-7 + 12x = 121

Add '7' to each side of the equation.
-7 + 7 + 12x = 121 + 7

Combine like terms: -7 + 7 = 0
0 + 12x = 121 + 7
12x = 121 + 7

Combine like terms: 121 + 7 = 128
12x = 128

Divide each side by '12'.
x = 10.66666667

Simplifying
x = 10.66666667

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