(5x+4)-4(10x-2)=x-11

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Solution for (5x+4)-4(10x-2)=x-11 equation:


Simplifying
(5x + 4) + -4(10x + -2) = x + -11

Reorder the terms:
(4 + 5x) + -4(10x + -2) = x + -11

Remove parenthesis around (4 + 5x)
4 + 5x + -4(10x + -2) = x + -11

Reorder the terms:
4 + 5x + -4(-2 + 10x) = x + -11
4 + 5x + (-2 * -4 + 10x * -4) = x + -11
4 + 5x + (8 + -40x) = x + -11

Reorder the terms:
4 + 8 + 5x + -40x = x + -11

Combine like terms: 4 + 8 = 12
12 + 5x + -40x = x + -11

Combine like terms: 5x + -40x = -35x
12 + -35x = x + -11

Reorder the terms:
12 + -35x = -11 + x

Solving
12 + -35x = -11 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -35x + -1x = -11 + x + -1x

Combine like terms: -35x + -1x = -36x
12 + -36x = -11 + x + -1x

Combine like terms: x + -1x = 0
12 + -36x = -11 + 0
12 + -36x = -11

Add '-12' to each side of the equation.
12 + -12 + -36x = -11 + -12

Combine like terms: 12 + -12 = 0
0 + -36x = -11 + -12
-36x = -11 + -12

Combine like terms: -11 + -12 = -23
-36x = -23

Divide each side by '-36'.
x = 0.6388888889

Simplifying
x = 0.6388888889

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