5(x+15)-2(x+3)=6

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Solution for 5(x+15)-2(x+3)=6 equation: 


Simplifying
5(x + 15) + -2(x + 3) = 6

Reorder the terms:
5(15 + x) + -2(x + 3) = 6
(15 * 5 + x * 5) + -2(x + 3) = 6
(75 + 5x) + -2(x + 3) = 6

Reorder the terms:
75 + 5x + -2(3 + x) = 6
75 + 5x + (3 * -2 + x * -2) = 6
75 + 5x + (-6 + -2x) = 6

Reorder the terms:
75 + -6 + 5x + -2x = 6

Combine like terms: 75 + -6 = 69
69 + 5x + -2x = 6

Combine like terms: 5x + -2x = 3x
69 + 3x = 6

Solving
69 + 3x = 6

Solving for variable 'x'.

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

Add '-69' to each side of the equation.
69 + -69 + 3x = 6 + -69

Combine like terms: 69 + -69 = 0
0 + 3x = 6 + -69
3x = 6 + -69

Combine like terms: 6 + -69 = -63
3x = -63

Divide each side by '3'.
x = -21

Simplifying
x = -21

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