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

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


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

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

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

Combine like terms: 12 + 3 = 15
15 + 6x = 3 + -2(x + -4)

Reorder the terms:
15 + 6x = 3 + -2(-4 + x)
15 + 6x = 3 + (-4 * -2 + x * -2)
15 + 6x = 3 + (8 + -2x)

Combine like terms: 3 + 8 = 11
15 + 6x = 11 + -2x

Solving
15 + 6x = 11 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
15 + 6x + 2x = 11 + -2x + 2x

Combine like terms: 6x + 2x = 8x
15 + 8x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + 8x = 11 + 0
15 + 8x = 11

Add '-15' to each side of the equation.
15 + -15 + 8x = 11 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = 11 + -15
8x = 11 + -15

Combine like terms: 11 + -15 = -4
8x = -4

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5

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