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

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Solution for 6(x-3)+2(x+2)=10 equation: 


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

Reorder the terms:
6(-3 + x) + 2(x + 2) = 10
(-3 * 6 + x * 6) + 2(x + 2) = 10
(-18 + 6x) + 2(x + 2) = 10

Reorder the terms:
-18 + 6x + 2(2 + x) = 10
-18 + 6x + (2 * 2 + x * 2) = 10
-18 + 6x + (4 + 2x) = 10

Reorder the terms:
-18 + 4 + 6x + 2x = 10

Combine like terms: -18 + 4 = -14
-14 + 6x + 2x = 10

Combine like terms: 6x + 2x = 8x
-14 + 8x = 10

Solving
-14 + 8x = 10

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 8x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 8x = 10 + 14
8x = 10 + 14

Combine like terms: 10 + 14 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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