8(2x-1)=5(2x+3)

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Solution for 8(2x-1)=5(2x+3) equation:


Simplifying
8(2x + -1) = 5(2x + 3)

Reorder the terms:
8(-1 + 2x) = 5(2x + 3)
(-1 * 8 + 2x * 8) = 5(2x + 3)
(-8 + 16x) = 5(2x + 3)

Reorder the terms:
-8 + 16x = 5(3 + 2x)
-8 + 16x = (3 * 5 + 2x * 5)
-8 + 16x = (15 + 10x)

Solving
-8 + 16x = 15 + 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.
-8 + 16x + -10x = 15 + 10x + -10x

Combine like terms: 16x + -10x = 6x
-8 + 6x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + 6x = 15 + 0
-8 + 6x = 15

Add '8' to each side of the equation.
-8 + 8 + 6x = 15 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 15 + 8
6x = 15 + 8

Combine like terms: 15 + 8 = 23
6x = 23

Divide each side by '6'.
x = 3.833333333

Simplifying
x = 3.833333333

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