6(x-7)=9x-18

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Solution for 6(x-7)=9x-18 equation:


Simplifying
6(x + -7) = 9x + -18

Reorder the terms:
6(-7 + x) = 9x + -18
(-7 * 6 + x * 6) = 9x + -18
(-42 + 6x) = 9x + -18

Reorder the terms:
-42 + 6x = -18 + 9x

Solving
-42 + 6x = -18 + 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.
-42 + 6x + -9x = -18 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-42 + -3x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
-42 + -3x = -18 + 0
-42 + -3x = -18

Add '42' to each side of the equation.
-42 + 42 + -3x = -18 + 42

Combine like terms: -42 + 42 = 0
0 + -3x = -18 + 42
-3x = -18 + 42

Combine like terms: -18 + 42 = 24
-3x = 24

Divide each side by '-3'.
x = -8

Simplifying
x = -8

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