2(x-4)+3(x+2)=10

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Solution for 2(x-4)+3(x+2)=10 equation: 


Simplifying
2(x + -4) + 3(x + 2) = 10

Reorder the terms:
2(-4 + x) + 3(x + 2) = 10
(-4 * 2 + x * 2) + 3(x + 2) = 10
(-8 + 2x) + 3(x + 2) = 10

Reorder the terms:
-8 + 2x + 3(2 + x) = 10
-8 + 2x + (2 * 3 + x * 3) = 10
-8 + 2x + (6 + 3x) = 10

Reorder the terms:
-8 + 6 + 2x + 3x = 10

Combine like terms: -8 + 6 = -2
-2 + 2x + 3x = 10

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

Solving
-2 + 5x = 10

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 10 + 2
5x = 10 + 2

Combine like terms: 10 + 2 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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