x+9=4(4x-6)

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Solution for x+9=4(4x-6) equation:


Simplifying
x + 9 = 4(4x + -6)

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

Reorder the terms:
9 + x = 4(-6 + 4x)
9 + x = (-6 * 4 + 4x * 4)
9 + x = (-24 + 16x)

Solving
9 + x = -24 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
9 + x + -16x = -24 + 16x + -16x

Combine like terms: x + -16x = -15x
9 + -15x = -24 + 16x + -16x

Combine like terms: 16x + -16x = 0
9 + -15x = -24 + 0
9 + -15x = -24

Add '-9' to each side of the equation.
9 + -9 + -15x = -24 + -9

Combine like terms: 9 + -9 = 0
0 + -15x = -24 + -9
-15x = -24 + -9

Combine like terms: -24 + -9 = -33
-15x = -33

Divide each side by '-15'.
x = 2.2

Simplifying
x = 2.2

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