6x-42=-9(x+3)

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Solution for 6x-42=-9(x+3) equation:


Simplifying
6x + -42 = -9(x + 3)

Reorder the terms:
-42 + 6x = -9(x + 3)

Reorder the terms:
-42 + 6x = -9(3 + x)
-42 + 6x = (3 * -9 + x * -9)
-42 + 6x = (-27 + -9x)

Solving
-42 + 6x = -27 + -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 = -27 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-42 + 15x = -27 + -9x + 9x

Combine like terms: -9x + 9x = 0
-42 + 15x = -27 + 0
-42 + 15x = -27

Add '42' to each side of the equation.
-42 + 42 + 15x = -27 + 42

Combine like terms: -42 + 42 = 0
0 + 15x = -27 + 42
15x = -27 + 42

Combine like terms: -27 + 42 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

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