5x+6+4x=-3(x-8)+7x

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Solution for 5x+6+4x=-3(x-8)+7x equation:


Simplifying
5x + 6 + 4x = -3(x + -8) + 7x

Reorder the terms:
6 + 5x + 4x = -3(x + -8) + 7x

Combine like terms: 5x + 4x = 9x
6 + 9x = -3(x + -8) + 7x

Reorder the terms:
6 + 9x = -3(-8 + x) + 7x
6 + 9x = (-8 * -3 + x * -3) + 7x
6 + 9x = (24 + -3x) + 7x

Combine like terms: -3x + 7x = 4x
6 + 9x = 24 + 4x

Solving
6 + 9x = 24 + 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.
6 + 9x + -4x = 24 + 4x + -4x

Combine like terms: 9x + -4x = 5x
6 + 5x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 5x = 24 + 0
6 + 5x = 24

Add '-6' to each side of the equation.
6 + -6 + 5x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 24 + -6
5x = 24 + -6

Combine like terms: 24 + -6 = 18
5x = 18

Divide each side by '5'.
x = 3.6

Simplifying
x = 3.6

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