4x+2=5x-7x

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Solution for 4x+2=5x-7x equation:


Simplifying
4x + 2 = 5x + -7x

Reorder the terms:
2 + 4x = 5x + -7x

Combine like terms: 5x + -7x = -2x
2 + 4x = -2x

Solving
2 + 4x = -2x

Solving for variable 'x'.

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

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

Combine like terms: 4x + 2x = 6x
2 + 6x = -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 6x = 0

Add '-2' to each side of the equation.
2 + -2 + 6x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 0 + -2
6x = 0 + -2

Combine like terms: 0 + -2 = -2
6x = -2

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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