(3x-10)+2x=3(3x-10)-8

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Solution for (3x-10)+2x=3(3x-10)-8 equation:


Simplifying
(3x + -10) + 2x = 3(3x + -10) + -8

Reorder the terms:
(-10 + 3x) + 2x = 3(3x + -10) + -8

Remove parenthesis around (-10 + 3x)
-10 + 3x + 2x = 3(3x + -10) + -8

Combine like terms: 3x + 2x = 5x
-10 + 5x = 3(3x + -10) + -8

Reorder the terms:
-10 + 5x = 3(-10 + 3x) + -8
-10 + 5x = (-10 * 3 + 3x * 3) + -8
-10 + 5x = (-30 + 9x) + -8

Reorder the terms:
-10 + 5x = -30 + -8 + 9x

Combine like terms: -30 + -8 = -38
-10 + 5x = -38 + 9x

Solving
-10 + 5x = -38 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-10 + 5x + -9x = -38 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-10 + -4x = -38 + 9x + -9x

Combine like terms: 9x + -9x = 0
-10 + -4x = -38 + 0
-10 + -4x = -38

Add '10' to each side of the equation.
-10 + 10 + -4x = -38 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = -38 + 10
-4x = -38 + 10

Combine like terms: -38 + 10 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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