11(x-1)=8x+10

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Solution for 11(x-1)=8x+10 equation:


Simplifying
11(x + -1) = 8x + 10

Reorder the terms:
11(-1 + x) = 8x + 10
(-1 * 11 + x * 11) = 8x + 10
(-11 + 11x) = 8x + 10

Reorder the terms:
-11 + 11x = 10 + 8x

Solving
-11 + 11x = 10 + 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.
-11 + 11x + -8x = 10 + 8x + -8x

Combine like terms: 11x + -8x = 3x
-11 + 3x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-11 + 3x = 10 + 0
-11 + 3x = 10

Add '11' to each side of the equation.
-11 + 11 + 3x = 10 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 10 + 11
3x = 10 + 11

Combine like terms: 10 + 11 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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