9x+4=4(4x-5)

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Solution for 9x+4=4(4x-5) equation:


Simplifying
9x + 4 = 4(4x + -5)

Reorder the terms:
4 + 9x = 4(4x + -5)

Reorder the terms:
4 + 9x = 4(-5 + 4x)
4 + 9x = (-5 * 4 + 4x * 4)
4 + 9x = (-20 + 16x)

Solving
4 + 9x = -20 + 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.
4 + 9x + -16x = -20 + 16x + -16x

Combine like terms: 9x + -16x = -7x
4 + -7x = -20 + 16x + -16x

Combine like terms: 16x + -16x = 0
4 + -7x = -20 + 0
4 + -7x = -20

Add '-4' to each side of the equation.
4 + -4 + -7x = -20 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -20 + -4
-7x = -20 + -4

Combine like terms: -20 + -4 = -24
-7x = -24

Divide each side by '-7'.
x = 3.428571429

Simplifying
x = 3.428571429

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