x+4x+11+(4x+11)2-1=180

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Solution for x+4x+11+(4x+11)2-1=180 equation:


Simplifying
x + 4x + 11 + (4x + 11) * 2 + -1 = 180

Reorder the terms:
x + 4x + 11 + (11 + 4x) * 2 + -1 = 180

Reorder the terms for easier multiplication:
x + 4x + 11 + 2(11 + 4x) + -1 = 180
x + 4x + 11 + (11 * 2 + 4x * 2) + -1 = 180
x + 4x + 11 + (22 + 8x) + -1 = 180

Reorder the terms:
11 + 22 + -1 + x + 4x + 8x = 180

Combine like terms: 11 + 22 = 33
33 + -1 + x + 4x + 8x = 180

Combine like terms: 33 + -1 = 32
32 + x + 4x + 8x = 180

Combine like terms: x + 4x = 5x
32 + 5x + 8x = 180

Combine like terms: 5x + 8x = 13x
32 + 13x = 180

Solving
32 + 13x = 180

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 13x = 180 + -32

Combine like terms: 32 + -32 = 0
0 + 13x = 180 + -32
13x = 180 + -32

Combine like terms: 180 + -32 = 148
13x = 148

Divide each side by '13'.
x = 11.38461538

Simplifying
x = 11.38461538

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