6(x-9)=-7x-15

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Solution for 6(x-9)=-7x-15 equation:


Simplifying
6(x + -9) = -7x + -15

Reorder the terms:
6(-9 + x) = -7x + -15
(-9 * 6 + x * 6) = -7x + -15
(-54 + 6x) = -7x + -15

Reorder the terms:
-54 + 6x = -15 + -7x

Solving
-54 + 6x = -15 + -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.
-54 + 6x + 7x = -15 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-54 + 13x = -15 + -7x + 7x

Combine like terms: -7x + 7x = 0
-54 + 13x = -15 + 0
-54 + 13x = -15

Add '54' to each side of the equation.
-54 + 54 + 13x = -15 + 54

Combine like terms: -54 + 54 = 0
0 + 13x = -15 + 54
13x = -15 + 54

Combine like terms: -15 + 54 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3

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