8+4(5x-4)=9-4(2x+1)

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Solution for 8+4(5x-4)=9-4(2x+1) equation:


Simplifying
8 + 4(5x + -4) = 9 + -4(2x + 1)

Reorder the terms:
8 + 4(-4 + 5x) = 9 + -4(2x + 1)
8 + (-4 * 4 + 5x * 4) = 9 + -4(2x + 1)
8 + (-16 + 20x) = 9 + -4(2x + 1)

Combine like terms: 8 + -16 = -8
-8 + 20x = 9 + -4(2x + 1)

Reorder the terms:
-8 + 20x = 9 + -4(1 + 2x)
-8 + 20x = 9 + (1 * -4 + 2x * -4)
-8 + 20x = 9 + (-4 + -8x)

Combine like terms: 9 + -4 = 5
-8 + 20x = 5 + -8x

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

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-8 + 20x + 8x = 5 + -8x + 8x

Combine like terms: 20x + 8x = 28x
-8 + 28x = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 28x = 5 + 0
-8 + 28x = 5

Add '8' to each side of the equation.
-8 + 8 + 28x = 5 + 8

Combine like terms: -8 + 8 = 0
0 + 28x = 5 + 8
28x = 5 + 8

Combine like terms: 5 + 8 = 13
28x = 13

Divide each side by '28'.
x = 0.4642857143

Simplifying
x = 0.4642857143

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