3(x+10)+(x+20)+5x=185-3x

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Solution for 3(x+10)+(x+20)+5x=185-3x equation:


Simplifying
3(x + 10) + (x + 20) + 5x = 185 + -3x

Reorder the terms:
3(10 + x) + (x + 20) + 5x = 185 + -3x
(10 * 3 + x * 3) + (x + 20) + 5x = 185 + -3x
(30 + 3x) + (x + 20) + 5x = 185 + -3x

Reorder the terms:
30 + 3x + (20 + x) + 5x = 185 + -3x

Remove parenthesis around (20 + x)
30 + 3x + 20 + x + 5x = 185 + -3x

Reorder the terms:
30 + 20 + 3x + x + 5x = 185 + -3x

Combine like terms: 30 + 20 = 50
50 + 3x + x + 5x = 185 + -3x

Combine like terms: 3x + x = 4x
50 + 4x + 5x = 185 + -3x

Combine like terms: 4x + 5x = 9x
50 + 9x = 185 + -3x

Solving
50 + 9x = 185 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
50 + 9x + 3x = 185 + -3x + 3x

Combine like terms: 9x + 3x = 12x
50 + 12x = 185 + -3x + 3x

Combine like terms: -3x + 3x = 0
50 + 12x = 185 + 0
50 + 12x = 185

Add '-50' to each side of the equation.
50 + -50 + 12x = 185 + -50

Combine like terms: 50 + -50 = 0
0 + 12x = 185 + -50
12x = 185 + -50

Combine like terms: 185 + -50 = 135
12x = 135

Divide each side by '12'.
x = 11.25

Simplifying
x = 11.25

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