10x+5=3x-9

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


Simplifying
10x + 5 = 3x + -9

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

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

Solving
5 + 10x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5 + 10x + -3x = -9 + 3x + -3x

Combine like terms: 10x + -3x = 7x
5 + 7x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 7x = -9 + 0
5 + 7x = -9

Add '-5' to each side of the equation.
5 + -5 + 7x = -9 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = -9 + -5
7x = -9 + -5

Combine like terms: -9 + -5 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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