x-1(5-2x)-(4x+11)=5x-13

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Solution for x-1(5-2x)-(4x+11)=5x-13 equation:


Simplifying
x + -1(5 + -2x) + -1(4x + 11) = 5x + -13
x + (5 * -1 + -2x * -1) + -1(4x + 11) = 5x + -13
x + (-5 + 2x) + -1(4x + 11) = 5x + -13

Reorder the terms:
x + -5 + 2x + -1(11 + 4x) = 5x + -13
x + -5 + 2x + (11 * -1 + 4x * -1) = 5x + -13
x + -5 + 2x + (-11 + -4x) = 5x + -13

Reorder the terms:
-5 + -11 + x + 2x + -4x = 5x + -13

Combine like terms: -5 + -11 = -16
-16 + x + 2x + -4x = 5x + -13

Combine like terms: x + 2x = 3x
-16 + 3x + -4x = 5x + -13

Combine like terms: 3x + -4x = -1x
-16 + -1x = 5x + -13

Reorder the terms:
-16 + -1x = -13 + 5x

Solving
-16 + -1x = -13 + 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.
-16 + -1x + -5x = -13 + 5x + -5x

Combine like terms: -1x + -5x = -6x
-16 + -6x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -6x = -13 + 0
-16 + -6x = -13

Add '16' to each side of the equation.
-16 + 16 + -6x = -13 + 16

Combine like terms: -16 + 16 = 0
0 + -6x = -13 + 16
-6x = -13 + 16

Combine like terms: -13 + 16 = 3
-6x = 3

Divide each side by '-6'.
x = -0.5

Simplifying
x = -0.5

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