3x-5+5(x-3)=12

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Solution for 3x-5+5(x-3)=12 equation:


Simplifying
3x + -5 + 5(x + -3) = 12

Reorder the terms:
3x + -5 + 5(-3 + x) = 12
3x + -5 + (-3 * 5 + x * 5) = 12
3x + -5 + (-15 + 5x) = 12

Reorder the terms:
-5 + -15 + 3x + 5x = 12

Combine like terms: -5 + -15 = -20
-20 + 3x + 5x = 12

Combine like terms: 3x + 5x = 8x
-20 + 8x = 12

Solving
-20 + 8x = 12

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 8x = 12 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = 12 + 20
8x = 12 + 20

Combine like terms: 12 + 20 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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