6-3(3x-5)=8x-98

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Solution for 6-3(3x-5)=8x-98 equation:


Simplifying
6 + -3(3x + -5) = 8x + -98

Reorder the terms:
6 + -3(-5 + 3x) = 8x + -98
6 + (-5 * -3 + 3x * -3) = 8x + -98
6 + (15 + -9x) = 8x + -98

Combine like terms: 6 + 15 = 21
21 + -9x = 8x + -98

Reorder the terms:
21 + -9x = -98 + 8x

Solving
21 + -9x = -98 + 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.
21 + -9x + -8x = -98 + 8x + -8x

Combine like terms: -9x + -8x = -17x
21 + -17x = -98 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + -17x = -98 + 0
21 + -17x = -98

Add '-21' to each side of the equation.
21 + -21 + -17x = -98 + -21

Combine like terms: 21 + -21 = 0
0 + -17x = -98 + -21
-17x = -98 + -21

Combine like terms: -98 + -21 = -119
-17x = -119

Divide each side by '-17'.
x = 7

Simplifying
x = 7

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