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

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


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

Reorder the terms:
2(3 + x) + -4(x + 2) = 10
(3 * 2 + x * 2) + -4(x + 2) = 10
(6 + 2x) + -4(x + 2) = 10

Reorder the terms:
6 + 2x + -4(2 + x) = 10
6 + 2x + (2 * -4 + x * -4) = 10
6 + 2x + (-8 + -4x) = 10

Reorder the terms:
6 + -8 + 2x + -4x = 10

Combine like terms: 6 + -8 = -2
-2 + 2x + -4x = 10

Combine like terms: 2x + -4x = -2x
-2 + -2x = 10

Solving
-2 + -2x = 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 + -2x = 10 + 2

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

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

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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