4x-2=3x-9-5x+10

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Solution for 4x-2=3x-9-5x+10 equation:


Simplifying
4x + -2 = 3x + -9 + -5x + 10

Reorder the terms:
-2 + 4x = 3x + -9 + -5x + 10

Reorder the terms:
-2 + 4x = -9 + 10 + 3x + -5x

Combine like terms: -9 + 10 = 1
-2 + 4x = 1 + 3x + -5x

Combine like terms: 3x + -5x = -2x
-2 + 4x = 1 + -2x

Solving
-2 + 4x = 1 + -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 = 1 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-2 + 6x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + 6x = 1 + 0
-2 + 6x = 1

Add '2' to each side of the equation.
-2 + 2 + 6x = 1 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 1 + 2
6x = 1 + 2

Combine like terms: 1 + 2 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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