10x-5=40x+1

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Solution for 10x-5=40x+1 equation:


Simplifying
10x + -5 = 40x + 1

Reorder the terms:
-5 + 10x = 40x + 1

Reorder the terms:
-5 + 10x = 1 + 40x

Solving
-5 + 10x = 1 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
-5 + 10x + -40x = 1 + 40x + -40x

Combine like terms: 10x + -40x = -30x
-5 + -30x = 1 + 40x + -40x

Combine like terms: 40x + -40x = 0
-5 + -30x = 1 + 0
-5 + -30x = 1

Add '5' to each side of the equation.
-5 + 5 + -30x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + -30x = 1 + 5
-30x = 1 + 5

Combine like terms: 1 + 5 = 6
-30x = 6

Divide each side by '-30'.
x = -0.2

Simplifying
x = -0.2

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