28=2x+6(4x-17)

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Solution for 28=2x+6(4x-17) equation:


Simplifying
28 = 2x + 6(4x + -17)

Reorder the terms:
28 = 2x + 6(-17 + 4x)
28 = 2x + (-17 * 6 + 4x * 6)
28 = 2x + (-102 + 24x)

Reorder the terms:
28 = -102 + 2x + 24x

Combine like terms: 2x + 24x = 26x
28 = -102 + 26x

Solving
28 = -102 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
28 + -26x = -102 + 26x + -26x

Combine like terms: 26x + -26x = 0
28 + -26x = -102 + 0
28 + -26x = -102

Add '-28' to each side of the equation.
28 + -28 + -26x = -102 + -28

Combine like terms: 28 + -28 = 0
0 + -26x = -102 + -28
-26x = -102 + -28

Combine like terms: -102 + -28 = -130
-26x = -130

Divide each side by '-26'.
x = 5

Simplifying
x = 5

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