3x+18=7x-22

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Solution for 3x+18=7x-22 equation:


Simplifying
3x + 18 = 7x + -22

Reorder the terms:
18 + 3x = 7x + -22

Reorder the terms:
18 + 3x = -22 + 7x

Solving
18 + 3x = -22 + 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.
18 + 3x + -7x = -22 + 7x + -7x

Combine like terms: 3x + -7x = -4x
18 + -4x = -22 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + -4x = -22 + 0
18 + -4x = -22

Add '-18' to each side of the equation.
18 + -18 + -4x = -22 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = -22 + -18
-4x = -22 + -18

Combine like terms: -22 + -18 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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