8(2x+5)=3(5-2x)

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Solution for 8(2x+5)=3(5-2x) equation: 


Simplifying
8(2x + 5) = 3(5 + -2x)

Reorder the terms:
8(5 + 2x) = 3(5 + -2x)
(5 * 8 + 2x * 8) = 3(5 + -2x)
(40 + 16x) = 3(5 + -2x)
40 + 16x = (5 * 3 + -2x * 3)
40 + 16x = (15 + -6x)

Solving
40 + 16x = 15 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
40 + 16x + 6x = 15 + -6x + 6x

Combine like terms: 16x + 6x = 22x
40 + 22x = 15 + -6x + 6x

Combine like terms: -6x + 6x = 0
40 + 22x = 15 + 0
40 + 22x = 15

Add '-40' to each side of the equation.
40 + -40 + 22x = 15 + -40

Combine like terms: 40 + -40 = 0
0 + 22x = 15 + -40
22x = 15 + -40

Combine like terms: 15 + -40 = -25
22x = -25

Divide each side by '22'.
x = -1.136363636

Simplifying
x = -1.136363636

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