(2x+7)-(3x-11)-(x+37)=130

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Solution for (2x+7)-(3x-11)-(x+37)=130 equation:


Simplifying
(2x + 7) + -1(3x + -11) + -1(x + 37) = 130

Reorder the terms:
(7 + 2x) + -1(3x + -11) + -1(x + 37) = 130

Remove parenthesis around (7 + 2x)
7 + 2x + -1(3x + -11) + -1(x + 37) = 130

Reorder the terms:
7 + 2x + -1(-11 + 3x) + -1(x + 37) = 130
7 + 2x + (-11 * -1 + 3x * -1) + -1(x + 37) = 130
7 + 2x + (11 + -3x) + -1(x + 37) = 130

Reorder the terms:
7 + 2x + 11 + -3x + -1(37 + x) = 130
7 + 2x + 11 + -3x + (37 * -1 + x * -1) = 130
7 + 2x + 11 + -3x + (-37 + -1x) = 130

Reorder the terms:
7 + 11 + -37 + 2x + -3x + -1x = 130

Combine like terms: 7 + 11 = 18
18 + -37 + 2x + -3x + -1x = 130

Combine like terms: 18 + -37 = -19
-19 + 2x + -3x + -1x = 130

Combine like terms: 2x + -3x = -1x
-19 + -1x + -1x = 130

Combine like terms: -1x + -1x = -2x
-19 + -2x = 130

Solving
-19 + -2x = 130

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + -2x = 130 + 19

Combine like terms: -19 + 19 = 0
0 + -2x = 130 + 19
-2x = 130 + 19

Combine like terms: 130 + 19 = 149
-2x = 149

Divide each side by '-2'.
x = -74.5

Simplifying
x = -74.5

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