3x+2-5x=4x-10

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Solution for 3x+2-5x=4x-10 equation:


Simplifying
3x + 2 + -5x = 4x + -10

Reorder the terms:
2 + 3x + -5x = 4x + -10

Combine like terms: 3x + -5x = -2x
2 + -2x = 4x + -10

Reorder the terms:
2 + -2x = -10 + 4x

Solving
2 + -2x = -10 + 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.
2 + -2x + -4x = -10 + 4x + -4x

Combine like terms: -2x + -4x = -6x
2 + -6x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -6x = -10 + 0
2 + -6x = -10

Add '-2' to each side of the equation.
2 + -2 + -6x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -10 + -2
-6x = -10 + -2

Combine like terms: -10 + -2 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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