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

Reorder the terms:
-10 + 20x = 8 + 2 + 16x

Combine like terms: 8 + 2 = 10
-10 + 20x = 10 + 16x

Solving
-10 + 20x = 10 + 16x

Solving for variable 'x'.

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

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

Combine like terms: 20x + -16x = 4x
-10 + 4x = 10 + 16x + -16x

Combine like terms: 16x + -16x = 0
-10 + 4x = 10 + 0
-10 + 4x = 10

Add '10' to each side of the equation.
-10 + 10 + 4x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 10 + 10
4x = 10 + 10

Combine like terms: 10 + 10 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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