10+5(x-3)=3x-9

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


Simplifying
10 + 5(x + -3) = 3x + -9

Reorder the terms:
10 + 5(-3 + x) = 3x + -9
10 + (-3 * 5 + x * 5) = 3x + -9
10 + (-15 + 5x) = 3x + -9

Combine like terms: 10 + -15 = -5
-5 + 5x = 3x + -9

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

Solving
-5 + 5x = -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 + 5x + -3x = -9 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-5 + 2x = -9 + 0
-5 + 2x = -9

Add '5' to each side of the equation.
-5 + 5 + 2x = -9 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -9 + 5
2x = -9 + 5

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

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

Simplifying
x = -2

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