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

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


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

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

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

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

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

Combine like terms: 3x + 5x = 8x
-10 + 4x = 10 + 8x + -2x

Combine like terms: 8x + -2x = 6x
-10 + 4x = 10 + 6x

Solving
-10 + 4x = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-10 + 4x + -6x = 10 + 6x + -6x

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

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

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

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

Combine like terms: 10 + 10 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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