3x+8+4=-8(x-6)-8(13x+5)

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Solution for 3x+8+4=-8(x-6)-8(13x+5) equation:


Simplifying
3x + 8 + 4 = -8(x + -6) + -8(13x + 5)

Reorder the terms:
8 + 4 + 3x = -8(x + -6) + -8(13x + 5)

Combine like terms: 8 + 4 = 12
12 + 3x = -8(x + -6) + -8(13x + 5)

Reorder the terms:
12 + 3x = -8(-6 + x) + -8(13x + 5)
12 + 3x = (-6 * -8 + x * -8) + -8(13x + 5)
12 + 3x = (48 + -8x) + -8(13x + 5)

Reorder the terms:
12 + 3x = 48 + -8x + -8(5 + 13x)
12 + 3x = 48 + -8x + (5 * -8 + 13x * -8)
12 + 3x = 48 + -8x + (-40 + -104x)

Reorder the terms:
12 + 3x = 48 + -40 + -8x + -104x

Combine like terms: 48 + -40 = 8
12 + 3x = 8 + -8x + -104x

Combine like terms: -8x + -104x = -112x
12 + 3x = 8 + -112x

Solving
12 + 3x = 8 + -112x

Solving for variable 'x'.

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

Add '112x' to each side of the equation.
12 + 3x + 112x = 8 + -112x + 112x

Combine like terms: 3x + 112x = 115x
12 + 115x = 8 + -112x + 112x

Combine like terms: -112x + 112x = 0
12 + 115x = 8 + 0
12 + 115x = 8

Add '-12' to each side of the equation.
12 + -12 + 115x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 115x = 8 + -12
115x = 8 + -12

Combine like terms: 8 + -12 = -4
115x = -4

Divide each side by '115'.
x = -0.0347826087

Simplifying
x = -0.0347826087

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