2(x-4)+6=3x-10

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Solution for 2(x-4)+6=3x-10 equation: 


Simplifying
2(x + -4) + 6 = 3x + -10

Reorder the terms:
2(-4 + x) + 6 = 3x + -10
(-4 * 2 + x * 2) + 6 = 3x + -10
(-8 + 2x) + 6 = 3x + -10

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

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

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

Solving
-2 + 2x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 2x + -3x = -10 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-2 + -1x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -1x = -10 + 0
-2 + -1x = -10

Add '2' to each side of the equation.
-2 + 2 + -1x = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -10 + 2
-1x = -10 + 2

Combine like terms: -10 + 2 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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