4(4x+5)+2(x+8)=180

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Solution for 4(4x+5)+2(x+8)=180 equation: 


Simplifying
4(4x + 5) + 2(x + 8) = 180

Reorder the terms:
4(5 + 4x) + 2(x + 8) = 180
(5 * 4 + 4x * 4) + 2(x + 8) = 180
(20 + 16x) + 2(x + 8) = 180

Reorder the terms:
20 + 16x + 2(8 + x) = 180
20 + 16x + (8 * 2 + x * 2) = 180
20 + 16x + (16 + 2x) = 180

Reorder the terms:
20 + 16 + 16x + 2x = 180

Combine like terms: 20 + 16 = 36
36 + 16x + 2x = 180

Combine like terms: 16x + 2x = 18x
36 + 18x = 180

Solving
36 + 18x = 180

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 18x = 180 + -36

Combine like terms: 36 + -36 = 0
0 + 18x = 180 + -36
18x = 180 + -36

Combine like terms: 180 + -36 = 144
18x = 144

Divide each side by '18'.
x = 8

Simplifying
x = 8

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