7x-4(3x+2)=-8x-9

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Solution for 7x-4(3x+2)=-8x-9 equation:


Simplifying
7x + -4(3x + 2) = -8x + -9

Reorder the terms:
7x + -4(2 + 3x) = -8x + -9
7x + (2 * -4 + 3x * -4) = -8x + -9
7x + (-8 + -12x) = -8x + -9

Reorder the terms:
-8 + 7x + -12x = -8x + -9

Combine like terms: 7x + -12x = -5x
-8 + -5x = -8x + -9

Reorder the terms:
-8 + -5x = -9 + -8x

Solving
-8 + -5x = -9 + -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.
-8 + -5x + 8x = -9 + -8x + 8x

Combine like terms: -5x + 8x = 3x
-8 + 3x = -9 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 3x = -9 + 0
-8 + 3x = -9

Add '8' to each side of the equation.
-8 + 8 + 3x = -9 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = -9 + 8
3x = -9 + 8

Combine like terms: -9 + 8 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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