10x+17=3(3x+8)

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Solution for 10x+17=3(3x+8) equation:


Simplifying
10x + 17 = 3(3x + 8)

Reorder the terms:
17 + 10x = 3(3x + 8)

Reorder the terms:
17 + 10x = 3(8 + 3x)
17 + 10x = (8 * 3 + 3x * 3)
17 + 10x = (24 + 9x)

Solving
17 + 10x = 24 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
17 + 10x + -9x = 24 + 9x + -9x

Combine like terms: 10x + -9x = 1x
17 + 1x = 24 + 9x + -9x

Combine like terms: 9x + -9x = 0
17 + 1x = 24 + 0
17 + 1x = 24

Add '-17' to each side of the equation.
17 + -17 + 1x = 24 + -17

Combine like terms: 17 + -17 = 0
0 + 1x = 24 + -17
1x = 24 + -17

Combine like terms: 24 + -17 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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