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

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


Simplifying
4x + 5(3x + -5) = (6x + -3)

Reorder the terms:
4x + 5(-5 + 3x) = (6x + -3)
4x + (-5 * 5 + 3x * 5) = (6x + -3)
4x + (-25 + 15x) = (6x + -3)

Reorder the terms:
-25 + 4x + 15x = (6x + -3)

Combine like terms: 4x + 15x = 19x
-25 + 19x = (6x + -3)

Reorder the terms:
-25 + 19x = (-3 + 6x)

Remove parenthesis around (-3 + 6x)
-25 + 19x = -3 + 6x

Solving
-25 + 19x = -3 + 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.
-25 + 19x + -6x = -3 + 6x + -6x

Combine like terms: 19x + -6x = 13x
-25 + 13x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-25 + 13x = -3 + 0
-25 + 13x = -3

Add '25' to each side of the equation.
-25 + 25 + 13x = -3 + 25

Combine like terms: -25 + 25 = 0
0 + 13x = -3 + 25
13x = -3 + 25

Combine like terms: -3 + 25 = 22
13x = 22

Divide each side by '13'.
x = 1.692307692

Simplifying
x = 1.692307692

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