x+9=2(4x-1)

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Solution for x+9=2(4x-1) equation:


Simplifying
x + 9 = 2(4x + -1)

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

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

Solving
9 + x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
9 + x + -8x = -2 + 8x + -8x

Combine like terms: x + -8x = -7x
9 + -7x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
9 + -7x = -2 + 0
9 + -7x = -2

Add '-9' to each side of the equation.
9 + -9 + -7x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = -2 + -9
-7x = -2 + -9

Combine like terms: -2 + -9 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571

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