(5x+3)+(3x-9)=(7x+6)

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Solution for (5x+3)+(3x-9)=(7x+6) equation:


Simplifying
(5x + 3) + (3x + -9) = (7x + 6)

Reorder the terms:
(3 + 5x) + (3x + -9) = (7x + 6)

Remove parenthesis around (3 + 5x)
3 + 5x + (3x + -9) = (7x + 6)

Reorder the terms:
3 + 5x + (-9 + 3x) = (7x + 6)

Remove parenthesis around (-9 + 3x)
3 + 5x + -9 + 3x = (7x + 6)

Reorder the terms:
3 + -9 + 5x + 3x = (7x + 6)

Combine like terms: 3 + -9 = -6
-6 + 5x + 3x = (7x + 6)

Combine like terms: 5x + 3x = 8x
-6 + 8x = (7x + 6)

Reorder the terms:
-6 + 8x = (6 + 7x)

Remove parenthesis around (6 + 7x)
-6 + 8x = 6 + 7x

Solving
-6 + 8x = 6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-6 + 8x + -7x = 6 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-6 + 1x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + 1x = 6 + 0
-6 + 1x = 6

Add '6' to each side of the equation.
-6 + 6 + 1x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 6 + 6
1x = 6 + 6

Combine like terms: 6 + 6 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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