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

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


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

Reorder the terms:
3(-5 + x) + 17 = 2(x + 4)
(-5 * 3 + x * 3) + 17 = 2(x + 4)
(-15 + 3x) + 17 = 2(x + 4)

Reorder the terms:
-15 + 17 + 3x = 2(x + 4)

Combine like terms: -15 + 17 = 2
2 + 3x = 2(x + 4)

Reorder the terms:
2 + 3x = 2(4 + x)
2 + 3x = (4 * 2 + x * 2)
2 + 3x = (8 + 2x)

Solving
2 + 3x = 8 + 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.
2 + 3x + -2x = 8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
2 + 1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 1x = 8 + 0
2 + 1x = 8

Add '-2' to each side of the equation.
2 + -2 + 1x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 8 + -2
1x = 8 + -2

Combine like terms: 8 + -2 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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