(2x+10)-(3x-5)=180

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Solution for (2x+10)-(3x-5)=180 equation:


Simplifying
(2x + 10) + -1(3x + -5) = 180

Reorder the terms:
(10 + 2x) + -1(3x + -5) = 180

Remove parenthesis around (10 + 2x)
10 + 2x + -1(3x + -5) = 180

Reorder the terms:
10 + 2x + -1(-5 + 3x) = 180
10 + 2x + (-5 * -1 + 3x * -1) = 180
10 + 2x + (5 + -3x) = 180

Reorder the terms:
10 + 5 + 2x + -3x = 180

Combine like terms: 10 + 5 = 15
15 + 2x + -3x = 180

Combine like terms: 2x + -3x = -1x
15 + -1x = 180

Solving
15 + -1x = 180

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 180 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 180 + -15
-1x = 180 + -15

Combine like terms: 180 + -15 = 165
-1x = 165

Divide each side by '-1'.
x = -165

Simplifying
x = -165

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