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

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


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

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

Reorder the terms for easier multiplication:
10(6 + 2x) = 4(7x + -2)
(6 * 10 + 2x * 10) = 4(7x + -2)
(60 + 20x) = 4(7x + -2)

Reorder the terms:
60 + 20x = 4(-2 + 7x)
60 + 20x = (-2 * 4 + 7x * 4)
60 + 20x = (-8 + 28x)

Solving
60 + 20x = -8 + 28x

Solving for variable 'x'.

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

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

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

Combine like terms: 28x + -28x = 0
60 + -8x = -8 + 0
60 + -8x = -8

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

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

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

Divide each side by '-8'.
x = 8.5

Simplifying
x = 8.5

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