(3x+5)-(4x+6)=2

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Solution for (3x+5)-(4x+6)=2 equation:


Simplifying
(3x + 5) + -1(4x + 6) = 2

Reorder the terms:
(5 + 3x) + -1(4x + 6) = 2

Remove parenthesis around (5 + 3x)
5 + 3x + -1(4x + 6) = 2

Reorder the terms:
5 + 3x + -1(6 + 4x) = 2
5 + 3x + (6 * -1 + 4x * -1) = 2
5 + 3x + (-6 + -4x) = 2

Reorder the terms:
5 + -6 + 3x + -4x = 2

Combine like terms: 5 + -6 = -1
-1 + 3x + -4x = 2

Combine like terms: 3x + -4x = -1x
-1 + -1x = 2

Solving
-1 + -1x = 2

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 2 + 1
-1x = 2 + 1

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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