4(-3x-7)=9(-x-2)

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Solution for 4(-3x-7)=9(-x-2) equation:


Simplifying
4(-3x + -7) = 9(-1x + -2)

Reorder the terms:
4(-7 + -3x) = 9(-1x + -2)
(-7 * 4 + -3x * 4) = 9(-1x + -2)
(-28 + -12x) = 9(-1x + -2)

Reorder the terms:
-28 + -12x = 9(-2 + -1x)
-28 + -12x = (-2 * 9 + -1x * 9)
-28 + -12x = (-18 + -9x)

Solving
-28 + -12x = -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.
-28 + -12x + 9x = -18 + -9x + 9x

Combine like terms: -12x + 9x = -3x
-28 + -3x = -18 + -9x + 9x

Combine like terms: -9x + 9x = 0
-28 + -3x = -18 + 0
-28 + -3x = -18

Add '28' to each side of the equation.
-28 + 28 + -3x = -18 + 28

Combine like terms: -28 + 28 = 0
0 + -3x = -18 + 28
-3x = -18 + 28

Combine like terms: -18 + 28 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

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