3x+8=10x-3

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Solution for 3x+8=10x-3 equation:


Simplifying
3x + 8 = 10x + -3

Reorder the terms:
8 + 3x = 10x + -3

Reorder the terms:
8 + 3x = -3 + 10x

Solving
8 + 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.
8 + 3x + -10x = -3 + 10x + -10x

Combine like terms: 3x + -10x = -7x
8 + -7x = -3 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + -7x = -3 + 0
8 + -7x = -3

Add '-8' to each side of the equation.
8 + -8 + -7x = -3 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = -3 + -8
-7x = -3 + -8

Combine like terms: -3 + -8 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571

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