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

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


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

Combine like terms: 9x + -3x = 6x
6x = 7(x + -3) + 8

Reorder the terms:
6x = 7(-3 + x) + 8
6x = (-3 * 7 + x * 7) + 8
6x = (-21 + 7x) + 8

Reorder the terms:
6x = -21 + 8 + 7x

Combine like terms: -21 + 8 = -13
6x = -13 + 7x

Solving
6x = -13 + 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.
6x + -7x = -13 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-1x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
-1x = -13 + 0
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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