9x-3=4(2x+5)-17

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Solution for 9x-3=4(2x+5)-17 equation:


Simplifying
9x + -3 = 4(2x + 5) + -17

Reorder the terms:
-3 + 9x = 4(2x + 5) + -17

Reorder the terms:
-3 + 9x = 4(5 + 2x) + -17
-3 + 9x = (5 * 4 + 2x * 4) + -17
-3 + 9x = (20 + 8x) + -17

Reorder the terms:
-3 + 9x = 20 + -17 + 8x

Combine like terms: 20 + -17 = 3
-3 + 9x = 3 + 8x

Solving
-3 + 9x = 3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-3 + 9x + -8x = 3 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-3 + 1x = 3 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + 1x = 3 + 0
-3 + 1x = 3

Add '3' to each side of the equation.
-3 + 3 + 1x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 3 + 3
1x = 3 + 3

Combine like terms: 3 + 3 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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