2(3+2x)+3(x-4)=15

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Solution for 2(3+2x)+3(x-4)=15 equation: 


Simplifying
2(3 + 2x) + 3(x + -4) = 15
(3 * 2 + 2x * 2) + 3(x + -4) = 15
(6 + 4x) + 3(x + -4) = 15

Reorder the terms:
6 + 4x + 3(-4 + x) = 15
6 + 4x + (-4 * 3 + x * 3) = 15
6 + 4x + (-12 + 3x) = 15

Reorder the terms:
6 + -12 + 4x + 3x = 15

Combine like terms: 6 + -12 = -6
-6 + 4x + 3x = 15

Combine like terms: 4x + 3x = 7x
-6 + 7x = 15

Solving
-6 + 7x = 15

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 7x = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 15 + 6
7x = 15 + 6

Combine like terms: 15 + 6 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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