10x-5x-3=3x-8x+7-2

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Solution for 10x-5x-3=3x-8x+7-2 equation:


Simplifying
10x + -5x + -3 = 3x + -8x + 7 + -2

Reorder the terms:
-3 + 10x + -5x = 3x + -8x + 7 + -2

Combine like terms: 10x + -5x = 5x
-3 + 5x = 3x + -8x + 7 + -2

Reorder the terms:
-3 + 5x = 7 + -2 + 3x + -8x

Combine like terms: 7 + -2 = 5
-3 + 5x = 5 + 3x + -8x

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

Solving
-3 + 5x = 5 + -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.
-3 + 5x + 5x = 5 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
-3 + 10x = 5 + 0
-3 + 10x = 5

Add '3' to each side of the equation.
-3 + 3 + 10x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 5 + 3
10x = 5 + 3

Combine like terms: 5 + 3 = 8
10x = 8

Divide each side by '10'.
x = 0.8

Simplifying
x = 0.8

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