5(6x+5)-3(x-1)=15(2x-1)

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Solution for 5(6x+5)-3(x-1)=15(2x-1) equation:


Simplifying
5(6x + 5) + -3(x + -1) = 15(2x + -1)

Reorder the terms:
5(5 + 6x) + -3(x + -1) = 15(2x + -1)
(5 * 5 + 6x * 5) + -3(x + -1) = 15(2x + -1)
(25 + 30x) + -3(x + -1) = 15(2x + -1)

Reorder the terms:
25 + 30x + -3(-1 + x) = 15(2x + -1)
25 + 30x + (-1 * -3 + x * -3) = 15(2x + -1)
25 + 30x + (3 + -3x) = 15(2x + -1)

Reorder the terms:
25 + 3 + 30x + -3x = 15(2x + -1)

Combine like terms: 25 + 3 = 28
28 + 30x + -3x = 15(2x + -1)

Combine like terms: 30x + -3x = 27x
28 + 27x = 15(2x + -1)

Reorder the terms:
28 + 27x = 15(-1 + 2x)
28 + 27x = (-1 * 15 + 2x * 15)
28 + 27x = (-15 + 30x)

Solving
28 + 27x = -15 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
28 + 27x + -30x = -15 + 30x + -30x

Combine like terms: 27x + -30x = -3x
28 + -3x = -15 + 30x + -30x

Combine like terms: 30x + -30x = 0
28 + -3x = -15 + 0
28 + -3x = -15

Add '-28' to each side of the equation.
28 + -28 + -3x = -15 + -28

Combine like terms: 28 + -28 = 0
0 + -3x = -15 + -28
-3x = -15 + -28

Combine like terms: -15 + -28 = -43
-3x = -43

Divide each side by '-3'.
x = 14.33333333

Simplifying
x = 14.33333333

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