4(3x-5)+3(6x-9)=-160

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Solution for 4(3x-5)+3(6x-9)=-160 equation: 


Simplifying
4(3x + -5) + 3(6x + -9) = -160

Reorder the terms:
4(-5 + 3x) + 3(6x + -9) = -160
(-5 * 4 + 3x * 4) + 3(6x + -9) = -160
(-20 + 12x) + 3(6x + -9) = -160

Reorder the terms:
-20 + 12x + 3(-9 + 6x) = -160
-20 + 12x + (-9 * 3 + 6x * 3) = -160
-20 + 12x + (-27 + 18x) = -160

Reorder the terms:
-20 + -27 + 12x + 18x = -160

Combine like terms: -20 + -27 = -47
-47 + 12x + 18x = -160

Combine like terms: 12x + 18x = 30x
-47 + 30x = -160

Solving
-47 + 30x = -160

Solving for variable 'x'.

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

Add '47' to each side of the equation.
-47 + 47 + 30x = -160 + 47

Combine like terms: -47 + 47 = 0
0 + 30x = -160 + 47
30x = -160 + 47

Combine like terms: -160 + 47 = -113
30x = -113

Divide each side by '30'.
x = -3.766666667

Simplifying
x = -3.766666667

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