5(6x+20)+4(3x-16)=330

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Solution for 5(6x+20)+4(3x-16)=330 equation: 


Simplifying
5(6x + 20) + 4(3x + -16) = 330

Reorder the terms:
5(20 + 6x) + 4(3x + -16) = 330
(20 * 5 + 6x * 5) + 4(3x + -16) = 330
(100 + 30x) + 4(3x + -16) = 330

Reorder the terms:
100 + 30x + 4(-16 + 3x) = 330
100 + 30x + (-16 * 4 + 3x * 4) = 330
100 + 30x + (-64 + 12x) = 330

Reorder the terms:
100 + -64 + 30x + 12x = 330

Combine like terms: 100 + -64 = 36
36 + 30x + 12x = 330

Combine like terms: 30x + 12x = 42x
36 + 42x = 330

Solving
36 + 42x = 330

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 42x = 330 + -36

Combine like terms: 36 + -36 = 0
0 + 42x = 330 + -36
42x = 330 + -36

Combine like terms: 330 + -36 = 294
42x = 294

Divide each side by '42'.
x = 7

Simplifying
x = 7

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