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 = 8x
-6 + 8x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 8x = 10 + 0
-6 + 8x = 10

Add '6' to each side of the equation.
-6 + 6 + 8x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 10 + 6
8x = 10 + 6

Combine like terms: 10 + 6 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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