10(8x+6)=-13(x-3)

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Solution for 10(8x+6)=-13(x-3) equation:


Simplifying
10(8x + 6) = -13(x + -3)

Reorder the terms:
10(6 + 8x) = -13(x + -3)
(6 * 10 + 8x * 10) = -13(x + -3)
(60 + 80x) = -13(x + -3)

Reorder the terms:
60 + 80x = -13(-3 + x)
60 + 80x = (-3 * -13 + x * -13)
60 + 80x = (39 + -13x)

Solving
60 + 80x = 39 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
60 + 80x + 13x = 39 + -13x + 13x

Combine like terms: 80x + 13x = 93x
60 + 93x = 39 + -13x + 13x

Combine like terms: -13x + 13x = 0
60 + 93x = 39 + 0
60 + 93x = 39

Add '-60' to each side of the equation.
60 + -60 + 93x = 39 + -60

Combine like terms: 60 + -60 = 0
0 + 93x = 39 + -60
93x = 39 + -60

Combine like terms: 39 + -60 = -21
93x = -21

Divide each side by '93'.
x = -0.2258064516

Simplifying
x = -0.2258064516

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