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

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


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

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

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

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

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

Combine like terms: 10 + 10 = 20
20 + 3x + -5x = 180

Combine like terms: 3x + -5x = -2x
20 + -2x = 180

Solving
20 + -2x = 180

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -2x = 180 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = 180 + -20
-2x = 180 + -20

Combine like terms: 180 + -20 = 160
-2x = 160

Divide each side by '-2'.
x = -80

Simplifying
x = -80

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