5(8x+4)+6(9x+8)=-120

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Solution for 5(8x+4)+6(9x+8)=-120 equation:


Simplifying
5(8x + 4) + 6(9x + 8) = -120

Reorder the terms:
5(4 + 8x) + 6(9x + 8) = -120
(4 * 5 + 8x * 5) + 6(9x + 8) = -120
(20 + 40x) + 6(9x + 8) = -120

Reorder the terms:
20 + 40x + 6(8 + 9x) = -120
20 + 40x + (8 * 6 + 9x * 6) = -120
20 + 40x + (48 + 54x) = -120

Reorder the terms:
20 + 48 + 40x + 54x = -120

Combine like terms: 20 + 48 = 68
68 + 40x + 54x = -120

Combine like terms: 40x + 54x = 94x
68 + 94x = -120

Solving
68 + 94x = -120

Solving for variable 'x'.

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

Add '-68' to each side of the equation.
68 + -68 + 94x = -120 + -68

Combine like terms: 68 + -68 = 0
0 + 94x = -120 + -68
94x = -120 + -68

Combine like terms: -120 + -68 = -188
94x = -188

Divide each side by '94'.
x = -2

Simplifying
x = -2

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