7x+(3x-5)+6(8x+5)=180

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Solution for 7x+(3x-5)+6(8x+5)=180 equation:


Simplifying
7x + (3x + -5) + 6(8x + 5) = 180

Reorder the terms:
7x + (-5 + 3x) + 6(8x + 5) = 180

Remove parenthesis around (-5 + 3x)
7x + -5 + 3x + 6(8x + 5) = 180

Reorder the terms:
7x + -5 + 3x + 6(5 + 8x) = 180
7x + -5 + 3x + (5 * 6 + 8x * 6) = 180
7x + -5 + 3x + (30 + 48x) = 180

Reorder the terms:
-5 + 30 + 7x + 3x + 48x = 180

Combine like terms: -5 + 30 = 25
25 + 7x + 3x + 48x = 180

Combine like terms: 7x + 3x = 10x
25 + 10x + 48x = 180

Combine like terms: 10x + 48x = 58x
25 + 58x = 180

Solving
25 + 58x = 180

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 58x = 180 + -25

Combine like terms: 25 + -25 = 0
0 + 58x = 180 + -25
58x = 180 + -25

Combine like terms: 180 + -25 = 155
58x = 155

Divide each side by '58'.
x = 2.672413793

Simplifying
x = 2.672413793

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