2(x-4)+8=3x+10

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Solution for 2(x-4)+8=3x+10 equation: 


Simplifying
2(x + -4) + 8 = 3x + 10

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

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

Combine like terms: -8 + 8 = 0
0 + 2x = 3x + 10
2x = 3x + 10

Reorder the terms:
2x = 10 + 3x

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

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

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

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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