5x-2=10x+3

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Solution for 5x-2=10x+3 equation:


Simplifying
5x + -2 = 10x + 3

Reorder the terms:
-2 + 5x = 10x + 3

Reorder the terms:
-2 + 5x = 3 + 10x

Solving
-2 + 5x = 3 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-2 + 5x + -10x = 3 + 10x + -10x

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

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

Add '2' to each side of the equation.
-2 + 2 + -5x = 3 + 2

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

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

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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