3x-5=10x-7

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Solution for 3x-5=10x-7 equation:


Simplifying
3x + -5 = 10x + -7

Reorder the terms:
-5 + 3x = 10x + -7

Reorder the terms:
-5 + 3x = -7 + 10x

Solving
-5 + 3x = -7 + 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.
-5 + 3x + -10x = -7 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-5 + -7x = -7 + 10x + -10x

Combine like terms: 10x + -10x = 0
-5 + -7x = -7 + 0
-5 + -7x = -7

Add '5' to each side of the equation.
-5 + 5 + -7x = -7 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = -7 + 5
-7x = -7 + 5

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

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

Simplifying
x = 0.2857142857

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