(3x+7)+(5x-2)=6x

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Solution for (3x+7)+(5x-2)=6x equation:


Simplifying
(3x + 7) + (5x + -2) = 6x

Reorder the terms:
(7 + 3x) + (5x + -2) = 6x

Remove parenthesis around (7 + 3x)
7 + 3x + (5x + -2) = 6x

Reorder the terms:
7 + 3x + (-2 + 5x) = 6x

Remove parenthesis around (-2 + 5x)
7 + 3x + -2 + 5x = 6x

Reorder the terms:
7 + -2 + 3x + 5x = 6x

Combine like terms: 7 + -2 = 5
5 + 3x + 5x = 6x

Combine like terms: 3x + 5x = 8x
5 + 8x = 6x

Solving
5 + 8x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 8x + -6x = 6x + -6x

Combine like terms: 8x + -6x = 2x
5 + 2x = 6x + -6x

Combine like terms: 6x + -6x = 0
5 + 2x = 0

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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