6(2x+5)=5(x-2)-3

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Solution for 6(2x+5)=5(x-2)-3 equation:


Simplifying
6(2x + 5) = 5(x + -2) + -3

Reorder the terms:
6(5 + 2x) = 5(x + -2) + -3
(5 * 6 + 2x * 6) = 5(x + -2) + -3
(30 + 12x) = 5(x + -2) + -3

Reorder the terms:
30 + 12x = 5(-2 + x) + -3
30 + 12x = (-2 * 5 + x * 5) + -3
30 + 12x = (-10 + 5x) + -3

Reorder the terms:
30 + 12x = -10 + -3 + 5x

Combine like terms: -10 + -3 = -13
30 + 12x = -13 + 5x

Solving
30 + 12x = -13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
30 + 12x + -5x = -13 + 5x + -5x

Combine like terms: 12x + -5x = 7x
30 + 7x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + 7x = -13 + 0
30 + 7x = -13

Add '-30' to each side of the equation.
30 + -30 + 7x = -13 + -30

Combine like terms: 30 + -30 = 0
0 + 7x = -13 + -30
7x = -13 + -30

Combine like terms: -13 + -30 = -43
7x = -43

Divide each side by '7'.
x = -6.142857143

Simplifying
x = -6.142857143

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