4(4x-9)-5=4(x-3)+55

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Solution for 4(4x-9)-5=4(x-3)+55 equation:


Simplifying
4(4x + -9) + -5 = 4(x + -3) + 55

Reorder the terms:
4(-9 + 4x) + -5 = 4(x + -3) + 55
(-9 * 4 + 4x * 4) + -5 = 4(x + -3) + 55
(-36 + 16x) + -5 = 4(x + -3) + 55

Reorder the terms:
-36 + -5 + 16x = 4(x + -3) + 55

Combine like terms: -36 + -5 = -41
-41 + 16x = 4(x + -3) + 55

Reorder the terms:
-41 + 16x = 4(-3 + x) + 55
-41 + 16x = (-3 * 4 + x * 4) + 55
-41 + 16x = (-12 + 4x) + 55

Reorder the terms:
-41 + 16x = -12 + 55 + 4x

Combine like terms: -12 + 55 = 43
-41 + 16x = 43 + 4x

Solving
-41 + 16x = 43 + 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.
-41 + 16x + -4x = 43 + 4x + -4x

Combine like terms: 16x + -4x = 12x
-41 + 12x = 43 + 4x + -4x

Combine like terms: 4x + -4x = 0
-41 + 12x = 43 + 0
-41 + 12x = 43

Add '41' to each side of the equation.
-41 + 41 + 12x = 43 + 41

Combine like terms: -41 + 41 = 0
0 + 12x = 43 + 41
12x = 43 + 41

Combine like terms: 43 + 41 = 84
12x = 84

Divide each side by '12'.
x = 7

Simplifying
x = 7

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