4x+2=14x-32

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Solution for 4x+2=14x-32 equation:


Simplifying
4x + 2 = 14x + -32

Reorder the terms:
2 + 4x = 14x + -32

Reorder the terms:
2 + 4x = -32 + 14x

Solving
2 + 4x = -32 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
2 + 4x + -14x = -32 + 14x + -14x

Combine like terms: 4x + -14x = -10x
2 + -10x = -32 + 14x + -14x

Combine like terms: 14x + -14x = 0
2 + -10x = -32 + 0
2 + -10x = -32

Add '-2' to each side of the equation.
2 + -2 + -10x = -32 + -2

Combine like terms: 2 + -2 = 0
0 + -10x = -32 + -2
-10x = -32 + -2

Combine like terms: -32 + -2 = -34
-10x = -34

Divide each side by '-10'.
x = 3.4

Simplifying
x = 3.4

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