3(2x-15)=31-5(x+2)

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Solution for 3(2x-15)=31-5(x+2) equation:


Simplifying
3(2x + -15) = 31 + -5(x + 2)

Reorder the terms:
3(-15 + 2x) = 31 + -5(x + 2)
(-15 * 3 + 2x * 3) = 31 + -5(x + 2)
(-45 + 6x) = 31 + -5(x + 2)

Reorder the terms:
-45 + 6x = 31 + -5(2 + x)
-45 + 6x = 31 + (2 * -5 + x * -5)
-45 + 6x = 31 + (-10 + -5x)

Combine like terms: 31 + -10 = 21
-45 + 6x = 21 + -5x

Solving
-45 + 6x = 21 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-45 + 6x + 5x = 21 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-45 + 11x = 21 + -5x + 5x

Combine like terms: -5x + 5x = 0
-45 + 11x = 21 + 0
-45 + 11x = 21

Add '45' to each side of the equation.
-45 + 45 + 11x = 21 + 45

Combine like terms: -45 + 45 = 0
0 + 11x = 21 + 45
11x = 21 + 45

Combine like terms: 21 + 45 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6

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