3(x-4)+17=2(x+5)

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Solution for 3(x-4)+17=2(x+5) equation:


Simplifying
3(x + -4) + 17 = 2(x + 5)

Reorder the terms:
3(-4 + x) + 17 = 2(x + 5)
(-4 * 3 + x * 3) + 17 = 2(x + 5)
(-12 + 3x) + 17 = 2(x + 5)

Reorder the terms:
-12 + 17 + 3x = 2(x + 5)

Combine like terms: -12 + 17 = 5
5 + 3x = 2(x + 5)

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

Solving
5 + 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.
5 + 3x + -2x = 10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
5 + 1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 1x = 10 + 0
5 + 1x = 10

Add '-5' to each side of the equation.
5 + -5 + 1x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 10 + -5
1x = 10 + -5

Combine like terms: 10 + -5 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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