10[9+11(9-x)+8x]=12-8x

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Solution for 10[9+11(9-x)+8x]=12-8x equation:


Simplifying
10[9 + 11(9 + -1x) + 8x] = 12 + -8x
10[9 + (9 * 11 + -1x * 11) + 8x] = 12 + -8x
10[9 + (99 + -11x) + 8x] = 12 + -8x

Combine like terms: 9 + 99 = 108
10[108 + -11x + 8x] = 12 + -8x

Combine like terms: -11x + 8x = -3x
10[108 + -3x] = 12 + -8x
[108 * 10 + -3x * 10] = 12 + -8x
[1080 + -30x] = 12 + -8x

Solving
1080 + -30x = 12 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
1080 + -30x + 8x = 12 + -8x + 8x

Combine like terms: -30x + 8x = -22x
1080 + -22x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
1080 + -22x = 12 + 0
1080 + -22x = 12

Add '-1080' to each side of the equation.
1080 + -1080 + -22x = 12 + -1080

Combine like terms: 1080 + -1080 = 0
0 + -22x = 12 + -1080
-22x = 12 + -1080

Combine like terms: 12 + -1080 = -1068
-22x = -1068

Divide each side by '-22'.
x = 48.54545455

Simplifying
x = 48.54545455

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