6(x+2)+4=-4(x-6)-5

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Solution for 6(x+2)+4=-4(x-6)-5 equation:


Simplifying
6(x + 2) + 4 = -4(x + -6) + -5

Reorder the terms:
6(2 + x) + 4 = -4(x + -6) + -5
(2 * 6 + x * 6) + 4 = -4(x + -6) + -5
(12 + 6x) + 4 = -4(x + -6) + -5

Reorder the terms:
12 + 4 + 6x = -4(x + -6) + -5

Combine like terms: 12 + 4 = 16
16 + 6x = -4(x + -6) + -5

Reorder the terms:
16 + 6x = -4(-6 + x) + -5
16 + 6x = (-6 * -4 + x * -4) + -5
16 + 6x = (24 + -4x) + -5

Reorder the terms:
16 + 6x = 24 + -5 + -4x

Combine like terms: 24 + -5 = 19
16 + 6x = 19 + -4x

Solving
16 + 6x = 19 + -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.
16 + 6x + 4x = 19 + -4x + 4x

Combine like terms: 6x + 4x = 10x
16 + 10x = 19 + -4x + 4x

Combine like terms: -4x + 4x = 0
16 + 10x = 19 + 0
16 + 10x = 19

Add '-16' to each side of the equation.
16 + -16 + 10x = 19 + -16

Combine like terms: 16 + -16 = 0
0 + 10x = 19 + -16
10x = 19 + -16

Combine like terms: 19 + -16 = 3
10x = 3

Divide each side by '10'.
x = 0.3

Simplifying
x = 0.3

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