(7x-2)4=(2x+6)10

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Solution for (7x-2)4=(2x+6)10 equation:


Simplifying
(7x + -2) * 4 = (2x + 6) * 10

Reorder the terms:
(-2 + 7x) * 4 = (2x + 6) * 10

Reorder the terms for easier multiplication:
4(-2 + 7x) = (2x + 6) * 10
(-2 * 4 + 7x * 4) = (2x + 6) * 10
(-8 + 28x) = (2x + 6) * 10

Reorder the terms:
-8 + 28x = (6 + 2x) * 10

Reorder the terms for easier multiplication:
-8 + 28x = 10(6 + 2x)
-8 + 28x = (6 * 10 + 2x * 10)
-8 + 28x = (60 + 20x)

Solving
-8 + 28x = 60 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-8 + 28x + -20x = 60 + 20x + -20x

Combine like terms: 28x + -20x = 8x
-8 + 8x = 60 + 20x + -20x

Combine like terms: 20x + -20x = 0
-8 + 8x = 60 + 0
-8 + 8x = 60

Add '8' to each side of the equation.
-8 + 8 + 8x = 60 + 8

Combine like terms: -8 + 8 = 0
0 + 8x = 60 + 8
8x = 60 + 8

Combine like terms: 60 + 8 = 68
8x = 68

Divide each side by '8'.
x = 8.5

Simplifying
x = 8.5

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