x+(x+37)-(3x-40)=757

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Solution for x+(x+37)-(3x-40)=757 equation:


Simplifying
x + (x + 37) + -1(3x + -40) = 757

Reorder the terms:
x + (37 + x) + -1(3x + -40) = 757

Remove parenthesis around (37 + x)
x + 37 + x + -1(3x + -40) = 757

Reorder the terms:
x + 37 + x + -1(-40 + 3x) = 757
x + 37 + x + (-40 * -1 + 3x * -1) = 757
x + 37 + x + (40 + -3x) = 757

Reorder the terms:
37 + 40 + x + x + -3x = 757

Combine like terms: 37 + 40 = 77
77 + x + x + -3x = 757

Combine like terms: x + x = 2x
77 + 2x + -3x = 757

Combine like terms: 2x + -3x = -1x
77 + -1x = 757

Solving
77 + -1x = 757

Solving for variable 'x'.

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

Add '-77' to each side of the equation.
77 + -77 + -1x = 757 + -77

Combine like terms: 77 + -77 = 0
0 + -1x = 757 + -77
-1x = 757 + -77

Combine like terms: 757 + -77 = 680
-1x = 680

Divide each side by '-1'.
x = -680

Simplifying
x = -680

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