10(x-1)-8x=(5x-11)

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Solution for 10(x-1)-8x=(5x-11) equation:


Simplifying
10(x + -1) + -8x = (5x + -11)

Reorder the terms:
10(-1 + x) + -8x = (5x + -11)
(-1 * 10 + x * 10) + -8x = (5x + -11)
(-10 + 10x) + -8x = (5x + -11)

Combine like terms: 10x + -8x = 2x
-10 + 2x = (5x + -11)

Reorder the terms:
-10 + 2x = (-11 + 5x)

Remove parenthesis around (-11 + 5x)
-10 + 2x = -11 + 5x

Solving
-10 + 2x = -11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 2x + -5x = -11 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-10 + -3x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -3x = -11 + 0
-10 + -3x = -11

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

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

Combine like terms: -11 + 10 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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