3(x-4)+2(x+1)=15

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Solution for 3(x-4)+2(x+1)=15 equation: 


Simplifying
3(x + -4) + 2(x + 1) = 15

Reorder the terms:
3(-4 + x) + 2(x + 1) = 15
(-4 * 3 + x * 3) + 2(x + 1) = 15
(-12 + 3x) + 2(x + 1) = 15

Reorder the terms:
-12 + 3x + 2(1 + x) = 15
-12 + 3x + (1 * 2 + x * 2) = 15
-12 + 3x + (2 + 2x) = 15

Reorder the terms:
-12 + 2 + 3x + 2x = 15

Combine like terms: -12 + 2 = -10
-10 + 3x + 2x = 15

Combine like terms: 3x + 2x = 5x
-10 + 5x = 15

Solving
-10 + 5x = 15

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 5x = 15 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 15 + 10
5x = 15 + 10

Combine like terms: 15 + 10 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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