5+2(4x+2)=3(2x-1)

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Solution for 5+2(4x+2)=3(2x-1) equation:


Simplifying
5 + 2(4x + 2) = 3(2x + -1)

Reorder the terms:
5 + 2(2 + 4x) = 3(2x + -1)
5 + (2 * 2 + 4x * 2) = 3(2x + -1)
5 + (4 + 8x) = 3(2x + -1)

Combine like terms: 5 + 4 = 9
9 + 8x = 3(2x + -1)

Reorder the terms:
9 + 8x = 3(-1 + 2x)
9 + 8x = (-1 * 3 + 2x * 3)
9 + 8x = (-3 + 6x)

Solving
9 + 8x = -3 + 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.
9 + 8x + -6x = -3 + 6x + -6x

Combine like terms: 8x + -6x = 2x
9 + 2x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + 2x = -3 + 0
9 + 2x = -3

Add '-9' to each side of the equation.
9 + -9 + 2x = -3 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = -3 + -9
2x = -3 + -9

Combine like terms: -3 + -9 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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