x+14=7x+32-3x

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Solution for x+14=7x+32-3x equation:


Simplifying
x + 14 = 7x + 32 + -3x

Reorder the terms:
14 + x = 7x + 32 + -3x

Reorder the terms:
14 + x = 32 + 7x + -3x

Combine like terms: 7x + -3x = 4x
14 + x = 32 + 4x

Solving
14 + x = 32 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
14 + x + -4x = 32 + 4x + -4x

Combine like terms: x + -4x = -3x
14 + -3x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + -3x = 32 + 0
14 + -3x = 32

Add '-14' to each side of the equation.
14 + -14 + -3x = 32 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 32 + -14
-3x = 32 + -14

Combine like terms: 32 + -14 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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