2(x-15)+15=3(5-x)+30

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Solution for 2(x-15)+15=3(5-x)+30 equation: 


Simplifying
2(x + -15) + 15 = 3(5 + -1x) + 30

Reorder the terms:
2(-15 + x) + 15 = 3(5 + -1x) + 30
(-15 * 2 + x * 2) + 15 = 3(5 + -1x) + 30
(-30 + 2x) + 15 = 3(5 + -1x) + 30

Reorder the terms:
-30 + 15 + 2x = 3(5 + -1x) + 30

Combine like terms: -30 + 15 = -15
-15 + 2x = 3(5 + -1x) + 30
-15 + 2x = (5 * 3 + -1x * 3) + 30
-15 + 2x = (15 + -3x) + 30

Reorder the terms:
-15 + 2x = 15 + 30 + -3x

Combine like terms: 15 + 30 = 45
-15 + 2x = 45 + -3x

Solving
-15 + 2x = 45 + -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.
-15 + 2x + 3x = 45 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-15 + 5x = 45 + -3x + 3x

Combine like terms: -3x + 3x = 0
-15 + 5x = 45 + 0
-15 + 5x = 45

Add '15' to each side of the equation.
-15 + 15 + 5x = 45 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 45 + 15
5x = 45 + 15

Combine like terms: 45 + 15 = 60
5x = 60

Divide each side by '5'.
x = 12

Simplifying
x = 12

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