(5x-3)-11(4x+1)=1

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Solution for (5x-3)-11(4x+1)=1 equation:


Simplifying
(5x + -3) + -11(4x + 1) = 1

Reorder the terms:
(-3 + 5x) + -11(4x + 1) = 1

Remove parenthesis around (-3 + 5x)
-3 + 5x + -11(4x + 1) = 1

Reorder the terms:
-3 + 5x + -11(1 + 4x) = 1
-3 + 5x + (1 * -11 + 4x * -11) = 1
-3 + 5x + (-11 + -44x) = 1

Reorder the terms:
-3 + -11 + 5x + -44x = 1

Combine like terms: -3 + -11 = -14
-14 + 5x + -44x = 1

Combine like terms: 5x + -44x = -39x
-14 + -39x = 1

Solving
-14 + -39x = 1

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + -39x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + -39x = 1 + 14
-39x = 1 + 14

Combine like terms: 1 + 14 = 15
-39x = 15

Divide each side by '-39'.
x = -0.3846153846

Simplifying
x = -0.3846153846

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