5x+6=3x-10

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Solution for 5x+6=3x-10 equation:


Simplifying
5x + 6 = 3x + -10

Reorder the terms:
6 + 5x = 3x + -10

Reorder the terms:
6 + 5x = -10 + 3x

Solving
6 + 5x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 5x + -3x = -10 + 3x + -3x

Combine like terms: 5x + -3x = 2x
6 + 2x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 2x = -10 + 0
6 + 2x = -10

Add '-6' to each side of the equation.
6 + -6 + 2x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -10 + -6
2x = -10 + -6

Combine like terms: -10 + -6 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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