(5x+2)+(x-7)-(2x+5)=0

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Solution for (5x+2)+(x-7)-(2x+5)=0 equation:


Simplifying
(5x + 2) + (x + -7) + -1(2x + 5) = 0

Reorder the terms:
(2 + 5x) + (x + -7) + -1(2x + 5) = 0

Remove parenthesis around (2 + 5x)
2 + 5x + (x + -7) + -1(2x + 5) = 0

Reorder the terms:
2 + 5x + (-7 + x) + -1(2x + 5) = 0

Remove parenthesis around (-7 + x)
2 + 5x + -7 + x + -1(2x + 5) = 0

Reorder the terms:
2 + 5x + -7 + x + -1(5 + 2x) = 0
2 + 5x + -7 + x + (5 * -1 + 2x * -1) = 0
2 + 5x + -7 + x + (-5 + -2x) = 0

Reorder the terms:
2 + -7 + -5 + 5x + x + -2x = 0

Combine like terms: 2 + -7 = -5
-5 + -5 + 5x + x + -2x = 0

Combine like terms: -5 + -5 = -10
-10 + 5x + x + -2x = 0

Combine like terms: 5x + x = 6x
-10 + 6x + -2x = 0

Combine like terms: 6x + -2x = 4x
-10 + 4x = 0

Solving
-10 + 4x = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 4x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 0 + 10
4x = 0 + 10

Combine like terms: 0 + 10 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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