6x+2=14x-40

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Solution for 6x+2=14x-40 equation:


Simplifying
6x + 2 = 14x + -40

Reorder the terms:
2 + 6x = 14x + -40

Reorder the terms:
2 + 6x = -40 + 14x

Solving
2 + 6x = -40 + 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 + 6x + -14x = -40 + 14x + -14x

Combine like terms: 6x + -14x = -8x
2 + -8x = -40 + 14x + -14x

Combine like terms: 14x + -14x = 0
2 + -8x = -40 + 0
2 + -8x = -40

Add '-2' to each side of the equation.
2 + -2 + -8x = -40 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = -40 + -2
-8x = -40 + -2

Combine like terms: -40 + -2 = -42
-8x = -42

Divide each side by '-8'.
x = 5.25

Simplifying
x = 5.25

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