4(4x-5)=5(x+6)+3

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Solution for 4(4x-5)=5(x+6)+3 equation:


Simplifying
4(4x + -5) = 5(x + 6) + 3

Reorder the terms:
4(-5 + 4x) = 5(x + 6) + 3
(-5 * 4 + 4x * 4) = 5(x + 6) + 3
(-20 + 16x) = 5(x + 6) + 3

Reorder the terms:
-20 + 16x = 5(6 + x) + 3
-20 + 16x = (6 * 5 + x * 5) + 3
-20 + 16x = (30 + 5x) + 3

Reorder the terms:
-20 + 16x = 30 + 3 + 5x

Combine like terms: 30 + 3 = 33
-20 + 16x = 33 + 5x

Solving
-20 + 16x = 33 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-20 + 16x + -5x = 33 + 5x + -5x

Combine like terms: 16x + -5x = 11x
-20 + 11x = 33 + 5x + -5x

Combine like terms: 5x + -5x = 0
-20 + 11x = 33 + 0
-20 + 11x = 33

Add '20' to each side of the equation.
-20 + 20 + 11x = 33 + 20

Combine like terms: -20 + 20 = 0
0 + 11x = 33 + 20
11x = 33 + 20

Combine like terms: 33 + 20 = 53
11x = 53

Divide each side by '11'.
x = 4.818181818

Simplifying
x = 4.818181818

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