(5x+2)+(10x-3)+(8x-19)+(13x-31)+(7x-11)=540

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Solution for (5x+2)+(10x-3)+(8x-19)+(13x-31)+(7x-11)=540 equation:


Simplifying
(5x + 2) + (10x + -3) + (8x + -19) + (13x + -31) + (7x + -11) = 540

Reorder the terms:
(2 + 5x) + (10x + -3) + (8x + -19) + (13x + -31) + (7x + -11) = 540

Remove parenthesis around (2 + 5x)
2 + 5x + (10x + -3) + (8x + -19) + (13x + -31) + (7x + -11) = 540

Reorder the terms:
2 + 5x + (-3 + 10x) + (8x + -19) + (13x + -31) + (7x + -11) = 540

Remove parenthesis around (-3 + 10x)
2 + 5x + -3 + 10x + (8x + -19) + (13x + -31) + (7x + -11) = 540

Reorder the terms:
2 + 5x + -3 + 10x + (-19 + 8x) + (13x + -31) + (7x + -11) = 540

Remove parenthesis around (-19 + 8x)
2 + 5x + -3 + 10x + -19 + 8x + (13x + -31) + (7x + -11) = 540

Reorder the terms:
2 + 5x + -3 + 10x + -19 + 8x + (-31 + 13x) + (7x + -11) = 540

Remove parenthesis around (-31 + 13x)
2 + 5x + -3 + 10x + -19 + 8x + -31 + 13x + (7x + -11) = 540

Reorder the terms:
2 + 5x + -3 + 10x + -19 + 8x + -31 + 13x + (-11 + 7x) = 540

Remove parenthesis around (-11 + 7x)
2 + 5x + -3 + 10x + -19 + 8x + -31 + 13x + -11 + 7x = 540

Reorder the terms:
2 + -3 + -19 + -31 + -11 + 5x + 10x + 8x + 13x + 7x = 540

Combine like terms: 2 + -3 = -1
-1 + -19 + -31 + -11 + 5x + 10x + 8x + 13x + 7x = 540

Combine like terms: -1 + -19 = -20
-20 + -31 + -11 + 5x + 10x + 8x + 13x + 7x = 540

Combine like terms: -20 + -31 = -51
-51 + -11 + 5x + 10x + 8x + 13x + 7x = 540

Combine like terms: -51 + -11 = -62
-62 + 5x + 10x + 8x + 13x + 7x = 540

Combine like terms: 5x + 10x = 15x
-62 + 15x + 8x + 13x + 7x = 540

Combine like terms: 15x + 8x = 23x
-62 + 23x + 13x + 7x = 540

Combine like terms: 23x + 13x = 36x
-62 + 36x + 7x = 540

Combine like terms: 36x + 7x = 43x
-62 + 43x = 540

Solving
-62 + 43x = 540

Solving for variable 'x'.

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

Add '62' to each side of the equation.
-62 + 62 + 43x = 540 + 62

Combine like terms: -62 + 62 = 0
0 + 43x = 540 + 62
43x = 540 + 62

Combine like terms: 540 + 62 = 602
43x = 602

Divide each side by '43'.
x = 14

Simplifying
x = 14

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