3(x-15)+6=-2(x-8)+30

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Solution for 3(x-15)+6=-2(x-8)+30 equation: 


Simplifying
3(x + -15) + 6 = -2(x + -8) + 30

Reorder the terms:
3(-15 + x) + 6 = -2(x + -8) + 30
(-15 * 3 + x * 3) + 6 = -2(x + -8) + 30
(-45 + 3x) + 6 = -2(x + -8) + 30

Reorder the terms:
-45 + 6 + 3x = -2(x + -8) + 30

Combine like terms: -45 + 6 = -39
-39 + 3x = -2(x + -8) + 30

Reorder the terms:
-39 + 3x = -2(-8 + x) + 30
-39 + 3x = (-8 * -2 + x * -2) + 30
-39 + 3x = (16 + -2x) + 30

Reorder the terms:
-39 + 3x = 16 + 30 + -2x

Combine like terms: 16 + 30 = 46
-39 + 3x = 46 + -2x

Solving
-39 + 3x = 46 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-39 + 3x + 2x = 46 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-39 + 5x = 46 + -2x + 2x

Combine like terms: -2x + 2x = 0
-39 + 5x = 46 + 0
-39 + 5x = 46

Add '39' to each side of the equation.
-39 + 39 + 5x = 46 + 39

Combine like terms: -39 + 39 = 0
0 + 5x = 46 + 39
5x = 46 + 39

Combine like terms: 46 + 39 = 85
5x = 85

Divide each side by '5'.
x = 17

Simplifying
x = 17

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