10x-42=4x-5

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Solution for 10x-42=4x-5 equation:


Simplifying
10x + -42 = 4x + -5

Reorder the terms:
-42 + 10x = 4x + -5

Reorder the terms:
-42 + 10x = -5 + 4x

Solving
-42 + 10x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-42 + 10x + -4x = -5 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-42 + 6x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-42 + 6x = -5 + 0
-42 + 6x = -5

Add '42' to each side of the equation.
-42 + 42 + 6x = -5 + 42

Combine like terms: -42 + 42 = 0
0 + 6x = -5 + 42
6x = -5 + 42

Combine like terms: -5 + 42 = 37
6x = 37

Divide each side by '6'.
x = 6.166666667

Simplifying
x = 6.166666667

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