2(3+x)=4(3x-1)-10

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Solution for 2(3+x)=4(3x-1)-10 equation: 


Simplifying
2(3 + x) = 4(3x + -1) + -10
(3 * 2 + x * 2) = 4(3x + -1) + -10
(6 + 2x) = 4(3x + -1) + -10

Reorder the terms:
6 + 2x = 4(-1 + 3x) + -10
6 + 2x = (-1 * 4 + 3x * 4) + -10
6 + 2x = (-4 + 12x) + -10

Reorder the terms:
6 + 2x = -4 + -10 + 12x

Combine like terms: -4 + -10 = -14
6 + 2x = -14 + 12x

Solving
6 + 2x = -14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + 2x + -12x = -14 + 12x + -12x

Combine like terms: 2x + -12x = -10x
6 + -10x = -14 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -10x = -14 + 0
6 + -10x = -14

Add '-6' to each side of the equation.
6 + -6 + -10x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = -14 + -6
-10x = -14 + -6

Combine like terms: -14 + -6 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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