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

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


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

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

Reorder the terms:
45 + 3x = 2x + 2(-3 + 2x)
45 + 3x = 2x + (-3 * 2 + 2x * 2)
45 + 3x = 2x + (-6 + 4x)

Reorder the terms:
45 + 3x = -6 + 2x + 4x

Combine like terms: 2x + 4x = 6x
45 + 3x = -6 + 6x

Solving
45 + 3x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
45 + 3x + -6x = -6 + 6x + -6x

Combine like terms: 3x + -6x = -3x
45 + -3x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
45 + -3x = -6 + 0
45 + -3x = -6

Add '-45' to each side of the equation.
45 + -45 + -3x = -6 + -45

Combine like terms: 45 + -45 = 0
0 + -3x = -6 + -45
-3x = -6 + -45

Combine like terms: -6 + -45 = -51
-3x = -51

Divide each side by '-3'.
x = 17

Simplifying
x = 17

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