3(x-3)+16=2(x+5)

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Solution for 3(x-3)+16=2(x+5) equation:


Simplifying
3(x + -3) + 16 = 2(x + 5)

Reorder the terms:
3(-3 + x) + 16 = 2(x + 5)
(-3 * 3 + x * 3) + 16 = 2(x + 5)
(-9 + 3x) + 16 = 2(x + 5)

Reorder the terms:
-9 + 16 + 3x = 2(x + 5)

Combine like terms: -9 + 16 = 7
7 + 3x = 2(x + 5)

Reorder the terms:
7 + 3x = 2(5 + x)
7 + 3x = (5 * 2 + x * 2)
7 + 3x = (10 + 2x)

Solving
7 + 3x = 10 + 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.
7 + 3x + -2x = 10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
7 + 1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 1x = 10 + 0
7 + 1x = 10

Add '-7' to each side of the equation.
7 + -7 + 1x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 10 + -7
1x = 10 + -7

Combine like terms: 10 + -7 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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