10x-8-3x+5=x-3+3x-9

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Solution for 10x-8-3x+5=x-3+3x-9 equation:


Simplifying
10x + -8 + -3x + 5 = x + -3 + 3x + -9

Reorder the terms:
-8 + 5 + 10x + -3x = x + -3 + 3x + -9

Combine like terms: -8 + 5 = -3
-3 + 10x + -3x = x + -3 + 3x + -9

Combine like terms: 10x + -3x = 7x
-3 + 7x = x + -3 + 3x + -9

Reorder the terms:
-3 + 7x = -3 + -9 + x + 3x

Combine like terms: -3 + -9 = -12
-3 + 7x = -12 + x + 3x

Combine like terms: x + 3x = 4x
-3 + 7x = -12 + 4x

Solving
-3 + 7x = -12 + 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.
-3 + 7x + -4x = -12 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-3 + 3x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 3x = -12 + 0
-3 + 3x = -12

Add '3' to each side of the equation.
-3 + 3 + 3x = -12 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = -12 + 3
3x = -12 + 3

Combine like terms: -12 + 3 = -9
3x = -9

Divide each side by '3'.
x = -3

Simplifying
x = -3

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