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

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


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

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

Combine like terms: 4x + -7x = -3x
2 + -3x = 5x + -2

Reorder the terms:
2 + -3x = -2 + 5x

Solving
2 + -3x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + -3x + -5x = -2 + 5x + -5x

Combine like terms: -3x + -5x = -8x
2 + -8x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -8x = -2 + 0
2 + -8x = -2

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

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

Combine like terms: -2 + -2 = -4
-8x = -4

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

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