3x+2=10x-3

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


Simplifying
3x + 2 = 10x + -3

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

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

Solving
2 + 3x = -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 + 3x + -10x = -3 + 10x + -10x

Combine like terms: 3x + -10x = -7x
2 + -7x = -3 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -7x = -3 + 0
2 + -7x = -3

Add '-2' to each side of the equation.
2 + -2 + -7x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = -3 + -2
-7x = -3 + -2

Combine like terms: -3 + -2 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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