-8x-9(x+6)=-4(4x+3)

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Solution for -8x-9(x+6)=-4(4x+3) equation:


Simplifying
-8x + -9(x + 6) = -4(4x + 3)

Reorder the terms:
-8x + -9(6 + x) = -4(4x + 3)
-8x + (6 * -9 + x * -9) = -4(4x + 3)
-8x + (-54 + -9x) = -4(4x + 3)

Reorder the terms:
-54 + -8x + -9x = -4(4x + 3)

Combine like terms: -8x + -9x = -17x
-54 + -17x = -4(4x + 3)

Reorder the terms:
-54 + -17x = -4(3 + 4x)
-54 + -17x = (3 * -4 + 4x * -4)
-54 + -17x = (-12 + -16x)

Solving
-54 + -17x = -12 + -16x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '16x' to each side of the equation.
-54 + -17x + 16x = -12 + -16x + 16x

Combine like terms: -17x + 16x = -1x
-54 + -1x = -12 + -16x + 16x

Combine like terms: -16x + 16x = 0
-54 + -1x = -12 + 0
-54 + -1x = -12

Add '54' to each side of the equation.
-54 + 54 + -1x = -12 + 54

Combine like terms: -54 + 54 = 0
0 + -1x = -12 + 54
-1x = -12 + 54

Combine like terms: -12 + 54 = 42
-1x = 42

Divide each side by '-1'.
x = -42

Simplifying
x = -42

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