(8x+2)=3(2x-7)

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Solution for (8x+2)=3(2x-7) equation:


Simplifying
(8x + 2) = 3(2x + -7)

Reorder the terms:
(2 + 8x) = 3(2x + -7)

Remove parenthesis around (2 + 8x)
2 + 8x = 3(2x + -7)

Reorder the terms:
2 + 8x = 3(-7 + 2x)
2 + 8x = (-7 * 3 + 2x * 3)
2 + 8x = (-21 + 6x)

Solving
2 + 8x = -21 + 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.
2 + 8x + -6x = -21 + 6x + -6x

Combine like terms: 8x + -6x = 2x
2 + 2x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 2x = -21 + 0
2 + 2x = -21

Add '-2' to each side of the equation.
2 + -2 + 2x = -21 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = -21 + -2
2x = -21 + -2

Combine like terms: -21 + -2 = -23
2x = -23

Divide each side by '2'.
x = -11.5

Simplifying
x = -11.5

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