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

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


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

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

Combine like terms: 3x + 4x = 7x
8 + 7x = -8(x + -6) + -8(13 + 5)

Reorder the terms:
8 + 7x = -8(-6 + x) + -8(13 + 5)
8 + 7x = (-6 * -8 + x * -8) + -8(13 + 5)
8 + 7x = (48 + -8x) + -8(13 + 5)

Combine like terms: 13 + 5 = 18
8 + 7x = 48 + -8x + -8(18)

Multiply -8 * 18
8 + 7x = 48 + -8x + -144

Reorder the terms:
8 + 7x = 48 + -144 + -8x

Combine like terms: 48 + -144 = -96
8 + 7x = -96 + -8x

Solving
8 + 7x = -96 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
8 + 7x + 8x = -96 + -8x + 8x

Combine like terms: 7x + 8x = 15x
8 + 15x = -96 + -8x + 8x

Combine like terms: -8x + 8x = 0
8 + 15x = -96 + 0
8 + 15x = -96

Add '-8' to each side of the equation.
8 + -8 + 15x = -96 + -8

Combine like terms: 8 + -8 = 0
0 + 15x = -96 + -8
15x = -96 + -8

Combine like terms: -96 + -8 = -104
15x = -104

Divide each side by '15'.
x = -6.933333333

Simplifying
x = -6.933333333

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