10x-5+2x=3(x-5)

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Solution for 10x-5+2x=3(x-5) equation:


Simplifying
10x + -5 + 2x = 3(x + -5)

Reorder the terms:
-5 + 10x + 2x = 3(x + -5)

Combine like terms: 10x + 2x = 12x
-5 + 12x = 3(x + -5)

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

Solving
-5 + 12x = -15 + 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 + 12x + -3x = -15 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-5 + 9x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 9x = -15 + 0
-5 + 9x = -15

Add '5' to each side of the equation.
-5 + 5 + 9x = -15 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = -15 + 5
9x = -15 + 5

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

Divide each side by '9'.
x = -1.111111111

Simplifying
x = -1.111111111

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