(3x+8)+(2x+15)+3(x-3)+(2x+10)+(3x-4)=540

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Solution for (3x+8)+(2x+15)+3(x-3)+(2x+10)+(3x-4)=540 equation: 


Simplifying
(3x + 8) + (2x + 15) + 3(x + -3) + (2x + 10) + (3x + -4) = 540

Reorder the terms:
(8 + 3x) + (2x + 15) + 3(x + -3) + (2x + 10) + (3x + -4) = 540

Remove parenthesis around (8 + 3x)
8 + 3x + (2x + 15) + 3(x + -3) + (2x + 10) + (3x + -4) = 540

Reorder the terms:
8 + 3x + (15 + 2x) + 3(x + -3) + (2x + 10) + (3x + -4) = 540

Remove parenthesis around (15 + 2x)
8 + 3x + 15 + 2x + 3(x + -3) + (2x + 10) + (3x + -4) = 540

Reorder the terms:
8 + 3x + 15 + 2x + 3(-3 + x) + (2x + 10) + (3x + -4) = 540
8 + 3x + 15 + 2x + (-3 * 3 + x * 3) + (2x + 10) + (3x + -4) = 540
8 + 3x + 15 + 2x + (-9 + 3x) + (2x + 10) + (3x + -4) = 540

Reorder the terms:
8 + 3x + 15 + 2x + -9 + 3x + (10 + 2x) + (3x + -4) = 540

Remove parenthesis around (10 + 2x)
8 + 3x + 15 + 2x + -9 + 3x + 10 + 2x + (3x + -4) = 540

Reorder the terms:
8 + 3x + 15 + 2x + -9 + 3x + 10 + 2x + (-4 + 3x) = 540

Remove parenthesis around (-4 + 3x)
8 + 3x + 15 + 2x + -9 + 3x + 10 + 2x + -4 + 3x = 540

Reorder the terms:
8 + 15 + -9 + 10 + -4 + 3x + 2x + 3x + 2x + 3x = 540

Combine like terms: 8 + 15 = 23
23 + -9 + 10 + -4 + 3x + 2x + 3x + 2x + 3x = 540

Combine like terms: 23 + -9 = 14
14 + 10 + -4 + 3x + 2x + 3x + 2x + 3x = 540

Combine like terms: 14 + 10 = 24
24 + -4 + 3x + 2x + 3x + 2x + 3x = 540

Combine like terms: 24 + -4 = 20
20 + 3x + 2x + 3x + 2x + 3x = 540

Combine like terms: 3x + 2x = 5x
20 + 5x + 3x + 2x + 3x = 540

Combine like terms: 5x + 3x = 8x
20 + 8x + 2x + 3x = 540

Combine like terms: 8x + 2x = 10x
20 + 10x + 3x = 540

Combine like terms: 10x + 3x = 13x
20 + 13x = 540

Solving
20 + 13x = 540

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 13x = 540 + -20

Combine like terms: 20 + -20 = 0
0 + 13x = 540 + -20
13x = 540 + -20

Combine like terms: 540 + -20 = 520
13x = 520

Divide each side by '13'.
x = 40

Simplifying
x = 40

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