3(x-4)+2(x+1)=11

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Solution for 3(x-4)+2(x+1)=11 equation: 


Simplifying
3(x + -4) + 2(x + 1) = 11

Reorder the terms:
3(-4 + x) + 2(x + 1) = 11
(-4 * 3 + x * 3) + 2(x + 1) = 11
(-12 + 3x) + 2(x + 1) = 11

Reorder the terms:
-12 + 3x + 2(1 + x) = 11
-12 + 3x + (1 * 2 + x * 2) = 11
-12 + 3x + (2 + 2x) = 11

Reorder the terms:
-12 + 2 + 3x + 2x = 11

Combine like terms: -12 + 2 = -10
-10 + 3x + 2x = 11

Combine like terms: 3x + 2x = 5x
-10 + 5x = 11

Solving
-10 + 5x = 11

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 = 11 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 11 + 10
5x = 11 + 10

Combine like terms: 11 + 10 = 21
5x = 21

Divide each side by '5'.
x = 4.2

Simplifying
x = 4.2

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