4x-2=40x+7

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Solution for 4x-2=40x+7 equation:


Simplifying
4x + -2 = 40x + 7

Reorder the terms:
-2 + 4x = 40x + 7

Reorder the terms:
-2 + 4x = 7 + 40x

Solving
-2 + 4x = 7 + 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 + 4x + -40x = 7 + 40x + -40x

Combine like terms: 4x + -40x = -36x
-2 + -36x = 7 + 40x + -40x

Combine like terms: 40x + -40x = 0
-2 + -36x = 7 + 0
-2 + -36x = 7

Add '2' to each side of the equation.
-2 + 2 + -36x = 7 + 2

Combine like terms: -2 + 2 = 0
0 + -36x = 7 + 2
-36x = 7 + 2

Combine like terms: 7 + 2 = 9
-36x = 9

Divide each side by '-36'.
x = -0.25

Simplifying
x = -0.25

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