10(2x-1)=8(2x+1)2

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Solution for 10(2x-1)=8(2x+1)2 equation:


Simplifying
10(2x + -1) = 8(2x + 1) * 2

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

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

Reorder the terms for easier multiplication:
-10 + 20x = 8 * 2(1 + 2x)

Multiply 8 * 2
-10 + 20x = 16(1 + 2x)
-10 + 20x = (1 * 16 + 2x * 16)
-10 + 20x = (16 + 32x)

Solving
-10 + 20x = 16 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-10 + 20x + -32x = 16 + 32x + -32x

Combine like terms: 20x + -32x = -12x
-10 + -12x = 16 + 32x + -32x

Combine like terms: 32x + -32x = 0
-10 + -12x = 16 + 0
-10 + -12x = 16

Add '10' to each side of the equation.
-10 + 10 + -12x = 16 + 10

Combine like terms: -10 + 10 = 0
0 + -12x = 16 + 10
-12x = 16 + 10

Combine like terms: 16 + 10 = 26
-12x = 26

Divide each side by '-12'.
x = -2.166666667

Simplifying
x = -2.166666667

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