5(3x+6)+2(x+3)=70

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Solution for 5(3x+6)+2(x+3)=70 equation:


Simplifying
5(3x + 6) + 2(x + 3) = 70

Reorder the terms:
5(6 + 3x) + 2(x + 3) = 70
(6 * 5 + 3x * 5) + 2(x + 3) = 70
(30 + 15x) + 2(x + 3) = 70

Reorder the terms:
30 + 15x + 2(3 + x) = 70
30 + 15x + (3 * 2 + x * 2) = 70
30 + 15x + (6 + 2x) = 70

Reorder the terms:
30 + 6 + 15x + 2x = 70

Combine like terms: 30 + 6 = 36
36 + 15x + 2x = 70

Combine like terms: 15x + 2x = 17x
36 + 17x = 70

Solving
36 + 17x = 70

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 + 17x = 70 + -36

Combine like terms: 36 + -36 = 0
0 + 17x = 70 + -36
17x = 70 + -36

Combine like terms: 70 + -36 = 34
17x = 34

Divide each side by '17'.
x = 2

Simplifying
x = 2

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