2(2x-10)-8=(14-3x)

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Solution for 2(2x-10)-8=(14-3x) equation:


Simplifying
2(2x + -10) + -8 = (14 + -3x)

Reorder the terms:
2(-10 + 2x) + -8 = (14 + -3x)
(-10 * 2 + 2x * 2) + -8 = (14 + -3x)
(-20 + 4x) + -8 = (14 + -3x)

Reorder the terms:
-20 + -8 + 4x = (14 + -3x)

Combine like terms: -20 + -8 = -28
-28 + 4x = (14 + -3x)

Remove parenthesis around (14 + -3x)
-28 + 4x = 14 + -3x

Solving
-28 + 4x = 14 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-28 + 4x + 3x = 14 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-28 + 7x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
-28 + 7x = 14 + 0
-28 + 7x = 14

Add '28' to each side of the equation.
-28 + 28 + 7x = 14 + 28

Combine like terms: -28 + 28 = 0
0 + 7x = 14 + 28
7x = 14 + 28

Combine like terms: 14 + 28 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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