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

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


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

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

Combine like terms: 2 + -16 = -14
-14 + 20x = 8 + -5(2x + 1)

Reorder the terms:
-14 + 20x = 8 + -5(1 + 2x)
-14 + 20x = 8 + (1 * -5 + 2x * -5)
-14 + 20x = 8 + (-5 + -10x)

Combine like terms: 8 + -5 = 3
-14 + 20x = 3 + -10x

Solving
-14 + 20x = 3 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-14 + 20x + 10x = 3 + -10x + 10x

Combine like terms: 20x + 10x = 30x
-14 + 30x = 3 + -10x + 10x

Combine like terms: -10x + 10x = 0
-14 + 30x = 3 + 0
-14 + 30x = 3

Add '14' to each side of the equation.
-14 + 14 + 30x = 3 + 14

Combine like terms: -14 + 14 = 0
0 + 30x = 3 + 14
30x = 3 + 14

Combine like terms: 3 + 14 = 17
30x = 17

Divide each side by '30'.
x = 0.5666666667

Simplifying
x = 0.5666666667

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