(4(x+1))+(3(x+4))=180

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Solution for (4(x+1))+(3(x+4))=180 equation:


Simplifying
(4(x + 1)) + (3(x + 4)) = 180

Reorder the terms:
(4(1 + x)) + (3(x + 4)) = 180
((1 * 4 + x * 4)) + (3(x + 4)) = 180
((4 + 4x)) + (3(x + 4)) = 180
(4 + 4x) + (3(x + 4)) = 180

Remove parenthesis around (4 + 4x)
4 + 4x + (3(x + 4)) = 180

Reorder the terms:
4 + 4x + (3(4 + x)) = 180
4 + 4x + ((4 * 3 + x * 3)) = 180
4 + 4x + ((12 + 3x)) = 180
4 + 4x + (12 + 3x) = 180

Remove parenthesis around (12 + 3x)
4 + 4x + 12 + 3x = 180

Reorder the terms:
4 + 12 + 4x + 3x = 180

Combine like terms: 4 + 12 = 16
16 + 4x + 3x = 180

Combine like terms: 4x + 3x = 7x
16 + 7x = 180

Solving
16 + 7x = 180

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 7x = 180 + -16

Combine like terms: 16 + -16 = 0
0 + 7x = 180 + -16
7x = 180 + -16

Combine like terms: 180 + -16 = 164
7x = 164

Divide each side by '7'.
x = 23.42857143

Simplifying
x = 23.42857143

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