6x-9(2x+1)=3(-51-32x)

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Solution for 6x-9(2x+1)=3(-51-32x) equation:


Simplifying
6x + -9(2x + 1) = 3(-51 + -32x)

Reorder the terms:
6x + -9(1 + 2x) = 3(-51 + -32x)
6x + (1 * -9 + 2x * -9) = 3(-51 + -32x)
6x + (-9 + -18x) = 3(-51 + -32x)

Reorder the terms:
-9 + 6x + -18x = 3(-51 + -32x)

Combine like terms: 6x + -18x = -12x
-9 + -12x = 3(-51 + -32x)
-9 + -12x = (-51 * 3 + -32x * 3)
-9 + -12x = (-153 + -96x)

Solving
-9 + -12x = -153 + -96x

Solving for variable 'x'.

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

Add '96x' to each side of the equation.
-9 + -12x + 96x = -153 + -96x + 96x

Combine like terms: -12x + 96x = 84x
-9 + 84x = -153 + -96x + 96x

Combine like terms: -96x + 96x = 0
-9 + 84x = -153 + 0
-9 + 84x = -153

Add '9' to each side of the equation.
-9 + 9 + 84x = -153 + 9

Combine like terms: -9 + 9 = 0
0 + 84x = -153 + 9
84x = -153 + 9

Combine like terms: -153 + 9 = -144
84x = -144

Divide each side by '84'.
x = -1.714285714

Simplifying
x = -1.714285714

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