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

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


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

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

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

Combine like terms: -20 + -8 = -28
-28 + 4x = 2(14 + -3x)
-28 + 4x = (14 * 2 + -3x * 2)
-28 + 4x = (28 + -6x)

Solving
-28 + 4x = 28 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-28 + 4x + 6x = 28 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-28 + 10x = 28 + -6x + 6x

Combine like terms: -6x + 6x = 0
-28 + 10x = 28 + 0
-28 + 10x = 28

Add '28' to each side of the equation.
-28 + 28 + 10x = 28 + 28

Combine like terms: -28 + 28 = 0
0 + 10x = 28 + 28
10x = 28 + 28

Combine like terms: 28 + 28 = 56
10x = 56

Divide each side by '10'.
x = 5.6

Simplifying
x = 5.6

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