3(x-4)+2(x+2)=7

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Solution for 3(x-4)+2(x+2)=7 equation: 


Simplifying
3(x + -4) + 2(x + 2) = 7

Reorder the terms:
3(-4 + x) + 2(x + 2) = 7
(-4 * 3 + x * 3) + 2(x + 2) = 7
(-12 + 3x) + 2(x + 2) = 7

Reorder the terms:
-12 + 3x + 2(2 + x) = 7
-12 + 3x + (2 * 2 + x * 2) = 7
-12 + 3x + (4 + 2x) = 7

Reorder the terms:
-12 + 4 + 3x + 2x = 7

Combine like terms: -12 + 4 = -8
-8 + 3x + 2x = 7

Combine like terms: 3x + 2x = 5x
-8 + 5x = 7

Solving
-8 + 5x = 7

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 5x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 7 + 8
5x = 7 + 8

Combine like terms: 7 + 8 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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