4(4x-9)-4=4(x-4)+60

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Solution for 4(4x-9)-4=4(x-4)+60 equation:


Simplifying
4(4x + -9) + -4 = 4(x + -4) + 60

Reorder the terms:
4(-9 + 4x) + -4 = 4(x + -4) + 60
(-9 * 4 + 4x * 4) + -4 = 4(x + -4) + 60
(-36 + 16x) + -4 = 4(x + -4) + 60

Reorder the terms:
-36 + -4 + 16x = 4(x + -4) + 60

Combine like terms: -36 + -4 = -40
-40 + 16x = 4(x + -4) + 60

Reorder the terms:
-40 + 16x = 4(-4 + x) + 60
-40 + 16x = (-4 * 4 + x * 4) + 60
-40 + 16x = (-16 + 4x) + 60

Reorder the terms:
-40 + 16x = -16 + 60 + 4x

Combine like terms: -16 + 60 = 44
-40 + 16x = 44 + 4x

Solving
-40 + 16x = 44 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-40 + 16x + -4x = 44 + 4x + -4x

Combine like terms: 16x + -4x = 12x
-40 + 12x = 44 + 4x + -4x

Combine like terms: 4x + -4x = 0
-40 + 12x = 44 + 0
-40 + 12x = 44

Add '40' to each side of the equation.
-40 + 40 + 12x = 44 + 40

Combine like terms: -40 + 40 = 0
0 + 12x = 44 + 40
12x = 44 + 40

Combine like terms: 44 + 40 = 84
12x = 84

Divide each side by '12'.
x = 7

Simplifying
x = 7

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