4(5x-4)+11=3(x-2)-(2x+2)

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Solution for 4(5x-4)+11=3(x-2)-(2x+2) equation:


Simplifying
4(5x + -4) + 11 = 3(x + -2) + -1(2x + 2)

Reorder the terms:
4(-4 + 5x) + 11 = 3(x + -2) + -1(2x + 2)
(-4 * 4 + 5x * 4) + 11 = 3(x + -2) + -1(2x + 2)
(-16 + 20x) + 11 = 3(x + -2) + -1(2x + 2)

Reorder the terms:
-16 + 11 + 20x = 3(x + -2) + -1(2x + 2)

Combine like terms: -16 + 11 = -5
-5 + 20x = 3(x + -2) + -1(2x + 2)

Reorder the terms:
-5 + 20x = 3(-2 + x) + -1(2x + 2)
-5 + 20x = (-2 * 3 + x * 3) + -1(2x + 2)
-5 + 20x = (-6 + 3x) + -1(2x + 2)

Reorder the terms:
-5 + 20x = -6 + 3x + -1(2 + 2x)
-5 + 20x = -6 + 3x + (2 * -1 + 2x * -1)
-5 + 20x = -6 + 3x + (-2 + -2x)

Reorder the terms:
-5 + 20x = -6 + -2 + 3x + -2x

Combine like terms: -6 + -2 = -8
-5 + 20x = -8 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-5 + 20x = -8 + 1x

Solving
-5 + 20x = -8 + 1x

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.
-5 + 20x + -1x = -8 + 1x + -1x

Combine like terms: 20x + -1x = 19x
-5 + 19x = -8 + 1x + -1x

Combine like terms: 1x + -1x = 0
-5 + 19x = -8 + 0
-5 + 19x = -8

Add '5' to each side of the equation.
-5 + 5 + 19x = -8 + 5

Combine like terms: -5 + 5 = 0
0 + 19x = -8 + 5
19x = -8 + 5

Combine like terms: -8 + 5 = -3
19x = -3

Divide each side by '19'.
x = -0.1578947368

Simplifying
x = -0.1578947368

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