10x-2=40x+22

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Solution for 10x-2=40x+22 equation:


Simplifying
10x + -2 = 40x + 22

Reorder the terms:
-2 + 10x = 40x + 22

Reorder the terms:
-2 + 10x = 22 + 40x

Solving
-2 + 10x = 22 + 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.
-2 + 10x + -40x = 22 + 40x + -40x

Combine like terms: 10x + -40x = -30x
-2 + -30x = 22 + 40x + -40x

Combine like terms: 40x + -40x = 0
-2 + -30x = 22 + 0
-2 + -30x = 22

Add '2' to each side of the equation.
-2 + 2 + -30x = 22 + 2

Combine like terms: -2 + 2 = 0
0 + -30x = 22 + 2
-30x = 22 + 2

Combine like terms: 22 + 2 = 24
-30x = 24

Divide each side by '-30'.
x = -0.8

Simplifying
x = -0.8

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