3x-40=7x+20

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Solution for 3x-40=7x+20 equation:


Simplifying
3x + -40 = 7x + 20

Reorder the terms:
-40 + 3x = 7x + 20

Reorder the terms:
-40 + 3x = 20 + 7x

Solving
-40 + 3x = 20 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-40 + 3x + -7x = 20 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-40 + -4x = 20 + 7x + -7x

Combine like terms: 7x + -7x = 0
-40 + -4x = 20 + 0
-40 + -4x = 20

Add '40' to each side of the equation.
-40 + 40 + -4x = 20 + 40

Combine like terms: -40 + 40 = 0
0 + -4x = 20 + 40
-4x = 20 + 40

Combine like terms: 20 + 40 = 60
-4x = 60

Divide each side by '-4'.
x = -15

Simplifying
x = -15

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