9+2(2x-1)=6(x+2)

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Solution for 9+2(2x-1)=6(x+2) equation:


Simplifying
9 + 2(2x + -1) = 6(x + 2)

Reorder the terms:
9 + 2(-1 + 2x) = 6(x + 2)
9 + (-1 * 2 + 2x * 2) = 6(x + 2)
9 + (-2 + 4x) = 6(x + 2)

Combine like terms: 9 + -2 = 7
7 + 4x = 6(x + 2)

Reorder the terms:
7 + 4x = 6(2 + x)
7 + 4x = (2 * 6 + x * 6)
7 + 4x = (12 + 6x)

Solving
7 + 4x = 12 + 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.
7 + 4x + -6x = 12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
7 + -2x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -2x = 12 + 0
7 + -2x = 12

Add '-7' to each side of the equation.
7 + -7 + -2x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 12 + -7
-2x = 12 + -7

Combine like terms: 12 + -7 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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