3x+10=5x-3

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


Simplifying
3x + 10 = 5x + -3

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

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

Solving
10 + 3x = -3 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
10 + -2x = -3 + 0
10 + -2x = -3

Add '-10' to each side of the equation.
10 + -10 + -2x = -3 + -10

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

Combine like terms: -3 + -10 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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