9(x-3)-1=7x+8

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Solution for 9(x-3)-1=7x+8 equation:


Simplifying
9(x + -3) + -1 = 7x + 8

Reorder the terms:
9(-3 + x) + -1 = 7x + 8
(-3 * 9 + x * 9) + -1 = 7x + 8
(-27 + 9x) + -1 = 7x + 8

Reorder the terms:
-27 + -1 + 9x = 7x + 8

Combine like terms: -27 + -1 = -28
-28 + 9x = 7x + 8

Reorder the terms:
-28 + 9x = 8 + 7x

Solving
-28 + 9x = 8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-28 + 9x + -7x = 8 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-28 + 2x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
-28 + 2x = 8 + 0
-28 + 2x = 8

Add '28' to each side of the equation.
-28 + 28 + 2x = 8 + 28

Combine like terms: -28 + 28 = 0
0 + 2x = 8 + 28
2x = 8 + 28

Combine like terms: 8 + 28 = 36
2x = 36

Divide each side by '2'.
x = 18

Simplifying
x = 18

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