(10x-15)+(4x-10)+(3x-5)+90=180

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Solution for (10x-15)+(4x-10)+(3x-5)+90=180 equation:


Simplifying
(10x + -15) + (4x + -10) + (3x + -5) + 90 = 180

Reorder the terms:
(-15 + 10x) + (4x + -10) + (3x + -5) + 90 = 180

Remove parenthesis around (-15 + 10x)
-15 + 10x + (4x + -10) + (3x + -5) + 90 = 180

Reorder the terms:
-15 + 10x + (-10 + 4x) + (3x + -5) + 90 = 180

Remove parenthesis around (-10 + 4x)
-15 + 10x + -10 + 4x + (3x + -5) + 90 = 180

Reorder the terms:
-15 + 10x + -10 + 4x + (-5 + 3x) + 90 = 180

Remove parenthesis around (-5 + 3x)
-15 + 10x + -10 + 4x + -5 + 3x + 90 = 180

Reorder the terms:
-15 + -10 + -5 + 90 + 10x + 4x + 3x = 180

Combine like terms: -15 + -10 = -25
-25 + -5 + 90 + 10x + 4x + 3x = 180

Combine like terms: -25 + -5 = -30
-30 + 90 + 10x + 4x + 3x = 180

Combine like terms: -30 + 90 = 60
60 + 10x + 4x + 3x = 180

Combine like terms: 10x + 4x = 14x
60 + 14x + 3x = 180

Combine like terms: 14x + 3x = 17x
60 + 17x = 180

Solving
60 + 17x = 180

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 17x = 180 + -60

Combine like terms: 60 + -60 = 0
0 + 17x = 180 + -60
17x = 180 + -60

Combine like terms: 180 + -60 = 120
17x = 120

Divide each side by '17'.
x = 7.058823529

Simplifying
x = 7.058823529

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