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

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


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

Reorder the terms:
5(8 + x) + 6 = 4x + -5
(8 * 5 + x * 5) + 6 = 4x + -5
(40 + 5x) + 6 = 4x + -5

Reorder the terms:
40 + 6 + 5x = 4x + -5

Combine like terms: 40 + 6 = 46
46 + 5x = 4x + -5

Reorder the terms:
46 + 5x = -5 + 4x

Solving
46 + 5x = -5 + 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.
46 + 5x + -4x = -5 + 4x + -4x

Combine like terms: 5x + -4x = 1x
46 + 1x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
46 + 1x = -5 + 0
46 + 1x = -5

Add '-46' to each side of the equation.
46 + -46 + 1x = -5 + -46

Combine like terms: 46 + -46 = 0
0 + 1x = -5 + -46
1x = -5 + -46

Combine like terms: -5 + -46 = -51
1x = -51

Divide each side by '1'.
x = -51

Simplifying
x = -51

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