3x-8=10x-10

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


Simplifying
3x + -8 = 10x + -10

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

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

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

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

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

Add '8' to each side of the equation.
-8 + 8 + -7x = -10 + 8

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

Combine like terms: -10 + 8 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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