5(x+5)+3(x+2)-7(x+6)=x

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Solution for 5(x+5)+3(x+2)-7(x+6)=x equation:


Simplifying
5(x + 5) + 3(x + 2) + -7(x + 6) = x

Reorder the terms:
5(5 + x) + 3(x + 2) + -7(x + 6) = x
(5 * 5 + x * 5) + 3(x + 2) + -7(x + 6) = x
(25 + 5x) + 3(x + 2) + -7(x + 6) = x

Reorder the terms:
25 + 5x + 3(2 + x) + -7(x + 6) = x
25 + 5x + (2 * 3 + x * 3) + -7(x + 6) = x
25 + 5x + (6 + 3x) + -7(x + 6) = x

Reorder the terms:
25 + 5x + 6 + 3x + -7(6 + x) = x
25 + 5x + 6 + 3x + (6 * -7 + x * -7) = x
25 + 5x + 6 + 3x + (-42 + -7x) = x

Reorder the terms:
25 + 6 + -42 + 5x + 3x + -7x = x

Combine like terms: 25 + 6 = 31
31 + -42 + 5x + 3x + -7x = x

Combine like terms: 31 + -42 = -11
-11 + 5x + 3x + -7x = x

Combine like terms: 5x + 3x = 8x
-11 + 8x + -7x = x

Combine like terms: 8x + -7x = 1x
-11 + 1x = x

Solving
-11 + 1x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-11 + 1x + -1x = x + -1x

Combine like terms: 1x + -1x = 0
-11 + 0 = x + -1x
-11 = x + -1x

Combine like terms: x + -1x = 0
-11 = 0

Add '11' to each side of the equation.
-11 + 11 = 0 + 11

Combine like terms: -11 + 11 = 0
0 = 0 + 11

Combine like terms: 0 + 11 = 11
0 = 11

Simplifying
0 = 11

Combine like terms: 0 + -11 = -11
-11 = 11 + -11

Combine like terms: 11 + -11 = 0
-11 = 0

The solution to this equation could not be determined.

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