2-3(x-2)=11x-5

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Solution for 2-3(x-2)=11x-5 equation:


Simplifying
2 + -3(x + -2) = 11x + -5

Reorder the terms:
2 + -3(-2 + x) = 11x + -5
2 + (-2 * -3 + x * -3) = 11x + -5
2 + (6 + -3x) = 11x + -5

Combine like terms: 2 + 6 = 8
8 + -3x = 11x + -5

Reorder the terms:
8 + -3x = -5 + 11x

Solving
8 + -3x = -5 + 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.
8 + -3x + -11x = -5 + 11x + -11x

Combine like terms: -3x + -11x = -14x
8 + -14x = -5 + 11x + -11x

Combine like terms: 11x + -11x = 0
8 + -14x = -5 + 0
8 + -14x = -5

Add '-8' to each side of the equation.
8 + -8 + -14x = -5 + -8

Combine like terms: 8 + -8 = 0
0 + -14x = -5 + -8
-14x = -5 + -8

Combine like terms: -5 + -8 = -13
-14x = -13

Divide each side by '-14'.
x = 0.9285714286

Simplifying
x = 0.9285714286

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