3(x-7)+2(x+5)=27

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Solution for 3(x-7)+2(x+5)=27 equation: 


Simplifying
3(x + -7) + 2(x + 5) = 27

Reorder the terms:
3(-7 + x) + 2(x + 5) = 27
(-7 * 3 + x * 3) + 2(x + 5) = 27
(-21 + 3x) + 2(x + 5) = 27

Reorder the terms:
-21 + 3x + 2(5 + x) = 27
-21 + 3x + (5 * 2 + x * 2) = 27
-21 + 3x + (10 + 2x) = 27

Reorder the terms:
-21 + 10 + 3x + 2x = 27

Combine like terms: -21 + 10 = -11
-11 + 3x + 2x = 27

Combine like terms: 3x + 2x = 5x
-11 + 5x = 27

Solving
-11 + 5x = 27

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 5x = 27 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 27 + 11
5x = 27 + 11

Combine like terms: 27 + 11 = 38
5x = 38

Divide each side by '5'.
x = 7.6

Simplifying
x = 7.6

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