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

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


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

Reorder the terms:
3(-4 + x) + 2(2x + 3) = 15
(-4 * 3 + x * 3) + 2(2x + 3) = 15
(-12 + 3x) + 2(2x + 3) = 15

Reorder the terms:
-12 + 3x + 2(3 + 2x) = 15
-12 + 3x + (3 * 2 + 2x * 2) = 15
-12 + 3x + (6 + 4x) = 15

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

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

Combine like terms: 3x + 4x = 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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