5(2x+7)+3(6x-9)=-160

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Solution for 5(2x+7)+3(6x-9)=-160 equation: 


Simplifying
5(2x + 7) + 3(6x + -9) = -160

Reorder the terms:
5(7 + 2x) + 3(6x + -9) = -160
(7 * 5 + 2x * 5) + 3(6x + -9) = -160
(35 + 10x) + 3(6x + -9) = -160

Reorder the terms:
35 + 10x + 3(-9 + 6x) = -160
35 + 10x + (-9 * 3 + 6x * 3) = -160
35 + 10x + (-27 + 18x) = -160

Reorder the terms:
35 + -27 + 10x + 18x = -160

Combine like terms: 35 + -27 = 8
8 + 10x + 18x = -160

Combine like terms: 10x + 18x = 28x
8 + 28x = -160

Solving
8 + 28x = -160

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 28x = -160 + -8

Combine like terms: 8 + -8 = 0
0 + 28x = -160 + -8
28x = -160 + -8

Combine like terms: -160 + -8 = -168
28x = -168

Divide each side by '28'.
x = -6

Simplifying
x = -6

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