26-1(4x-11)=5(x-1)-6

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Solution for 26-1(4x-11)=5(x-1)-6 equation: 


Simplifying
26 + -1(4x + -11) = 5(x + -1) + -6

Reorder the terms:
26 + -1(-11 + 4x) = 5(x + -1) + -6
26 + (-11 * -1 + 4x * -1) = 5(x + -1) + -6
26 + (11 + -4x) = 5(x + -1) + -6

Combine like terms: 26 + 11 = 37
37 + -4x = 5(x + -1) + -6

Reorder the terms:
37 + -4x = 5(-1 + x) + -6
37 + -4x = (-1 * 5 + x * 5) + -6
37 + -4x = (-5 + 5x) + -6

Reorder the terms:
37 + -4x = -5 + -6 + 5x

Combine like terms: -5 + -6 = -11
37 + -4x = -11 + 5x

Solving
37 + -4x = -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.
37 + -4x + -5x = -11 + 5x + -5x

Combine like terms: -4x + -5x = -9x
37 + -9x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
37 + -9x = -11 + 0
37 + -9x = -11

Add '-37' to each side of the equation.
37 + -37 + -9x = -11 + -37

Combine like terms: 37 + -37 = 0
0 + -9x = -11 + -37
-9x = -11 + -37

Combine like terms: -11 + -37 = -48
-9x = -48

Divide each side by '-9'.
x = 5.333333333

Simplifying
x = 5.333333333

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