10x=2(7x+3)+2

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Solution for 10x=2(7x+3)+2 equation:


Simplifying
10x = 2(7x + 3) + 2

Reorder the terms:
10x = 2(3 + 7x) + 2
10x = (3 * 2 + 7x * 2) + 2
10x = (6 + 14x) + 2

Reorder the terms:
10x = 6 + 2 + 14x

Combine like terms: 6 + 2 = 8
10x = 8 + 14x

Solving
10x = 8 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
10x + -14x = 8 + 14x + -14x

Combine like terms: 10x + -14x = -4x
-4x = 8 + 14x + -14x

Combine like terms: 14x + -14x = 0
-4x = 8 + 0
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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