(4x-10)+(10x-15)+(3x+5)+90=360

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Solution for (4x-10)+(10x-15)+(3x+5)+90=360 equation:


Simplifying
(4x + -10) + (10x + -15) + (3x + 5) + 90 = 360

Reorder the terms:
(-10 + 4x) + (10x + -15) + (3x + 5) + 90 = 360

Remove parenthesis around (-10 + 4x)
-10 + 4x + (10x + -15) + (3x + 5) + 90 = 360

Reorder the terms:
-10 + 4x + (-15 + 10x) + (3x + 5) + 90 = 360

Remove parenthesis around (-15 + 10x)
-10 + 4x + -15 + 10x + (3x + 5) + 90 = 360

Reorder the terms:
-10 + 4x + -15 + 10x + (5 + 3x) + 90 = 360

Remove parenthesis around (5 + 3x)
-10 + 4x + -15 + 10x + 5 + 3x + 90 = 360

Reorder the terms:
-10 + -15 + 5 + 90 + 4x + 10x + 3x = 360

Combine like terms: -10 + -15 = -25
-25 + 5 + 90 + 4x + 10x + 3x = 360

Combine like terms: -25 + 5 = -20
-20 + 90 + 4x + 10x + 3x = 360

Combine like terms: -20 + 90 = 70
70 + 4x + 10x + 3x = 360

Combine like terms: 4x + 10x = 14x
70 + 14x + 3x = 360

Combine like terms: 14x + 3x = 17x
70 + 17x = 360

Solving
70 + 17x = 360

Solving for variable 'x'.

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

Add '-70' to each side of the equation.
70 + -70 + 17x = 360 + -70

Combine like terms: 70 + -70 = 0
0 + 17x = 360 + -70
17x = 360 + -70

Combine like terms: 360 + -70 = 290
17x = 290

Divide each side by '17'.
x = 17.05882353

Simplifying
x = 17.05882353

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