(4x+20)-3(2x+10)+3(x+5)=0

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Solution for (4x+20)-3(2x+10)+3(x+5)=0 equation:


Simplifying
(4x + 20) + -3(2x + 10) + 3(x + 5) = 0

Reorder the terms:
(20 + 4x) + -3(2x + 10) + 3(x + 5) = 0

Remove parenthesis around (20 + 4x)
20 + 4x + -3(2x + 10) + 3(x + 5) = 0

Reorder the terms:
20 + 4x + -3(10 + 2x) + 3(x + 5) = 0
20 + 4x + (10 * -3 + 2x * -3) + 3(x + 5) = 0
20 + 4x + (-30 + -6x) + 3(x + 5) = 0

Reorder the terms:
20 + 4x + -30 + -6x + 3(5 + x) = 0
20 + 4x + -30 + -6x + (5 * 3 + x * 3) = 0
20 + 4x + -30 + -6x + (15 + 3x) = 0

Reorder the terms:
20 + -30 + 15 + 4x + -6x + 3x = 0

Combine like terms: 20 + -30 = -10
-10 + 15 + 4x + -6x + 3x = 0

Combine like terms: -10 + 15 = 5
5 + 4x + -6x + 3x = 0

Combine like terms: 4x + -6x = -2x
5 + -2x + 3x = 0

Combine like terms: -2x + 3x = 1x
5 + 1x = 0

Solving
5 + 1x = 0

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 0 + -5
1x = 0 + -5

Combine like terms: 0 + -5 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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