(2x+3)5=4(6x-1)

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Solution for (2x+3)5=4(6x-1) equation:


Simplifying
(2x + 3) * 5 = 4(6x + -1)

Reorder the terms:
(3 + 2x) * 5 = 4(6x + -1)

Reorder the terms for easier multiplication:
5(3 + 2x) = 4(6x + -1)
(3 * 5 + 2x * 5) = 4(6x + -1)
(15 + 10x) = 4(6x + -1)

Reorder the terms:
15 + 10x = 4(-1 + 6x)
15 + 10x = (-1 * 4 + 6x * 4)
15 + 10x = (-4 + 24x)

Solving
15 + 10x = -4 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
15 + 10x + -24x = -4 + 24x + -24x

Combine like terms: 10x + -24x = -14x
15 + -14x = -4 + 24x + -24x

Combine like terms: 24x + -24x = 0
15 + -14x = -4 + 0
15 + -14x = -4

Add '-15' to each side of the equation.
15 + -15 + -14x = -4 + -15

Combine like terms: 15 + -15 = 0
0 + -14x = -4 + -15
-14x = -4 + -15

Combine like terms: -4 + -15 = -19
-14x = -19

Divide each side by '-14'.
x = 1.357142857

Simplifying
x = 1.357142857

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