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

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


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

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

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

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

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

Solving
10 + 2x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 2x + -4x = -8 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
10 + -2x = -8 + 0
10 + -2x = -8

Add '-10' to each side of the equation.
10 + -10 + -2x = -8 + -10

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

Combine like terms: -8 + -10 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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