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

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


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

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

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

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

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

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

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

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

Combine like terms: 2x + 3x = 5x
-3 + 5x = 757

Solving
-3 + 5x = 757

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 5x = 757 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 757 + 3
5x = 757 + 3

Combine like terms: 757 + 3 = 760
5x = 760

Divide each side by '5'.
x = 152

Simplifying
x = 152

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