(2x+5)-(6x+2)=20

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Solution for (2x+5)-(6x+2)=20 equation:


Simplifying
(2x + 5) + -1(6x + 2) = 20

Reorder the terms:
(5 + 2x) + -1(6x + 2) = 20

Remove parenthesis around (5 + 2x)
5 + 2x + -1(6x + 2) = 20

Reorder the terms:
5 + 2x + -1(2 + 6x) = 20
5 + 2x + (2 * -1 + 6x * -1) = 20
5 + 2x + (-2 + -6x) = 20

Reorder the terms:
5 + -2 + 2x + -6x = 20

Combine like terms: 5 + -2 = 3
3 + 2x + -6x = 20

Combine like terms: 2x + -6x = -4x
3 + -4x = 20

Solving
3 + -4x = 20

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 + -4x = 20 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 20 + -3
-4x = 20 + -3

Combine like terms: 20 + -3 = 17
-4x = 17

Divide each side by '-4'.
x = -4.25

Simplifying
x = -4.25

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