3(x+10)+4(x+20)+5x=185-3x

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Solution for 3(x+10)+4(x+20)+5x=185-3x equation:


Simplifying
3(x + 10) + 4(x + 20) + 5x = 185 + -3x

Reorder the terms:
3(10 + x) + 4(x + 20) + 5x = 185 + -3x
(10 * 3 + x * 3) + 4(x + 20) + 5x = 185 + -3x
(30 + 3x) + 4(x + 20) + 5x = 185 + -3x

Reorder the terms:
30 + 3x + 4(20 + x) + 5x = 185 + -3x
30 + 3x + (20 * 4 + x * 4) + 5x = 185 + -3x
30 + 3x + (80 + 4x) + 5x = 185 + -3x

Reorder the terms:
30 + 80 + 3x + 4x + 5x = 185 + -3x

Combine like terms: 30 + 80 = 110
110 + 3x + 4x + 5x = 185 + -3x

Combine like terms: 3x + 4x = 7x
110 + 7x + 5x = 185 + -3x

Combine like terms: 7x + 5x = 12x
110 + 12x = 185 + -3x

Solving
110 + 12x = 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.
110 + 12x + 3x = 185 + -3x + 3x

Combine like terms: 12x + 3x = 15x
110 + 15x = 185 + -3x + 3x

Combine like terms: -3x + 3x = 0
110 + 15x = 185 + 0
110 + 15x = 185

Add '-110' to each side of the equation.
110 + -110 + 15x = 185 + -110

Combine like terms: 110 + -110 = 0
0 + 15x = 185 + -110
15x = 185 + -110

Combine like terms: 185 + -110 = 75
15x = 75

Divide each side by '15'.
x = 5

Simplifying
x = 5

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