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

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


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

Reorder the terms:
8(5 + x) + 3 = 6(x + -5)
(5 * 8 + x * 8) + 3 = 6(x + -5)
(40 + 8x) + 3 = 6(x + -5)

Reorder the terms:
40 + 3 + 8x = 6(x + -5)

Combine like terms: 40 + 3 = 43
43 + 8x = 6(x + -5)

Reorder the terms:
43 + 8x = 6(-5 + x)
43 + 8x = (-5 * 6 + x * 6)
43 + 8x = (-30 + 6x)

Solving
43 + 8x = -30 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
43 + 8x + -6x = -30 + 6x + -6x

Combine like terms: 8x + -6x = 2x
43 + 2x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
43 + 2x = -30 + 0
43 + 2x = -30

Add '-43' to each side of the equation.
43 + -43 + 2x = -30 + -43

Combine like terms: 43 + -43 = 0
0 + 2x = -30 + -43
2x = -30 + -43

Combine like terms: -30 + -43 = -73
2x = -73

Divide each side by '2'.
x = -36.5

Simplifying
x = -36.5

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